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Finding the Fourth Proportional to 5,742,978.47, 7,925,363.44 and 3,164,751.51

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Solution

The fourth proportional to 5,742,978.47, 7,925,363.44 and 3,164,751.51 is: 4,367,386.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742,978.47 : 7,925,363.44 = 3,164,751.51 : x
  2. Step 2: Convert to fraction form
    5,742,978.47/7,925,363.44 = 3,164,751.51/x
  3. Step 3: Cross multiply
    5,742,978.47x = 7,925,363.44 × 3,164,751.51
  4. Step 4: Simplify right side
    5,742,978.47x = 25,081,805,914,038.79
  5. Step 5: Solve for x
    x = 25,081,805,914,038.79/5,742,978.47
  6. Step 6: Final answer
    x = 4,367,386.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.