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Finding the Fourth Proportional to 5,291.66, 7,300.13 and 3,402.89

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Solution

The fourth proportional to 5,291.66, 7,300.13 and 3,402.89 is: 4,694.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,291.66 : 7,300.13 = 3,402.89 : x
  2. Step 2: Convert to fraction form
    5,291.66/7,300.13 = 3,402.89/x
  3. Step 3: Cross multiply
    5,291.66x = 7,300.13 × 3,402.89
  4. Step 4: Simplify right side
    5,291.66x = 24,841,539.38
  5. Step 5: Solve for x
    x = 24,841,539.38/5,291.66
  6. Step 6: Final answer
    x = 4,694.47

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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.