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Finding the Fourth Proportional to 5,404.75, 7,442.76 and 5,177.14

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Solution

The fourth proportional to 5,404.75, 7,442.76 and 5,177.14 is: 7,129.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,404.75 : 7,442.76 = 5,177.14 : x
  2. Step 2: Convert to fraction form
    5,404.75/7,442.76 = 5,177.14/x
  3. Step 3: Cross multiply
    5,404.75x = 7,442.76 × 5,177.14
  4. Step 4: Simplify right side
    5,404.75x = 38,532,210.51
  5. Step 5: Solve for x
    x = 38,532,210.51/5,404.75
  6. Step 6: Final answer
    x = 7,129.32

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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.