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Finding the Fourth Proportional to 3,807.20, 5,714.40 and 2,349.20

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Solution

The fourth proportional to 3,807.20, 5,714.40 and 2,349.20 is: 3,526.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.20 : 5,714.40 = 2,349.20 : x
  2. Step 2: Convert to fraction form
    3,807.20/5,714.40 = 2,349.20/x
  3. Step 3: Cross multiply
    3,807.20x = 5,714.40 × 2,349.20
  4. Step 4: Simplify right side
    3,807.20x = 13,424,268.48
  5. Step 5: Solve for x
    x = 13,424,268.48/3,807.20
  6. Step 6: Final answer
    x = 3,526.02

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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.