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Finding the Fourth Proportional to 5,142.66, 7,710 and 2,367.36

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Solution

The fourth proportional to 5,142.66, 7,710 and 2,367.36 is: 3,549.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,142.66 : 7,710 = 2,367.36 : x
  2. Step 2: Convert to fraction form
    5,142.66/7,710 = 2,367.36/x
  3. Step 3: Cross multiply
    5,142.66x = 7,710 × 2,367.36
  4. Step 4: Simplify right side
    5,142.66x = 18,252,345.60
  5. Step 5: Solve for x
    x = 18,252,345.60/5,142.66
  6. Step 6: Final answer
    x = 3,549.20

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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.