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Finding the Fourth Proportional to 5,376.84, 7,421.04 and 3,386.04

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Solution

The fourth proportional to 5,376.84, 7,421.04 and 3,386.04 is: 4,673.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,376.84 : 7,421.04 = 3,386.04 : x
  2. Step 2: Convert to fraction form
    5,376.84/7,421.04 = 3,386.04/x
  3. Step 3: Cross multiply
    5,376.84x = 7,421.04 × 3,386.04
  4. Step 4: Simplify right side
    5,376.84x = 25,127,938.28
  5. Step 5: Solve for x
    x = 25,127,938.28/5,376.84
  6. Step 6: Final answer
    x = 4,673.37

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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.