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Finding the Fourth Proportional to 4,710.60, 6,493.14 and 3,714.26

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Solution

The fourth proportional to 4,710.60, 6,493.14 and 3,714.26 is: 5,119.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,710.60 : 6,493.14 = 3,714.26 : x
  2. Step 2: Convert to fraction form
    4,710.60/6,493.14 = 3,714.26/x
  3. Step 3: Cross multiply
    4,710.60x = 6,493.14 × 3,714.26
  4. Step 4: Simplify right side
    4,710.60x = 24,117,177.71
  5. Step 5: Solve for x
    x = 24,117,177.71/4,710.60
  6. Step 6: Final answer
    x = 5,119.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.