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Finding the Fourth Proportional to 4,777.47, 7,171.47 and 3,385.08

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Solution

The fourth proportional to 4,777.47, 7,171.47 and 3,385.08 is: 5,081.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,777.47 : 7,171.47 = 3,385.08 : x
  2. Step 2: Convert to fraction form
    4,777.47/7,171.47 = 3,385.08/x
  3. Step 3: Cross multiply
    4,777.47x = 7,171.47 × 3,385.08
  4. Step 4: Simplify right side
    4,777.47x = 24,275,999.67
  5. Step 5: Solve for x
    x = 24,275,999.67/4,777.47
  6. Step 6: Final answer
    x = 5,081.35

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