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Finding the Fourth Proportional to 5,710.16, 7,877.72 and 3,719.99

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Solution

The fourth proportional to 5,710.16, 7,877.72 and 3,719.99 is: 5,132.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,710.16 : 7,877.72 = 3,719.99 : x
  2. Step 2: Convert to fraction form
    5,710.16/7,877.72 = 3,719.99/x
  3. Step 3: Cross multiply
    5,710.16x = 7,877.72 × 3,719.99
  4. Step 4: Simplify right side
    5,710.16x = 29,305,068.62
  5. Step 5: Solve for x
    x = 29,305,068.62/5,710.16
  6. Step 6: Final answer
    x = 5,132.09

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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.