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Finding the Fourth Proportional to 5,946.97, 8,921.76 and 2,437

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Solution

The fourth proportional to 5,946.97, 8,921.76 and 2,437 is: 3,656.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,946.97 : 8,921.76 = 2,437 : x
  2. Step 2: Convert to fraction form
    5,946.97/8,921.76 = 2,437/x
  3. Step 3: Cross multiply
    5,946.97x = 8,921.76 × 2,437
  4. Step 4: Simplify right side
    5,946.97x = 21,742,329.12
  5. Step 5: Solve for x
    x = 21,742,329.12/5,946.97
  6. Step 6: Final answer
    x = 3,656.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.