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Finding the Fourth Proportional to 5,416.39, 7,472.19 and 4,751.20

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Solution

The fourth proportional to 5,416.39, 7,472.19 and 4,751.20 is: 6,554.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,416.39 : 7,472.19 = 4,751.20 : x
  2. Step 2: Convert to fraction form
    5,416.39/7,472.19 = 4,751.20/x
  3. Step 3: Cross multiply
    5,416.39x = 7,472.19 × 4,751.20
  4. Step 4: Simplify right side
    5,416.39x = 35,501,869.13
  5. Step 5: Solve for x
    x = 35,501,869.13/5,416.39
  6. Step 6: Final answer
    x = 6,554.53

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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.