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Finding the Fourth Proportional to 5,365.64, 7,407.84 and 4,251.08

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Solution

The fourth proportional to 5,365.64, 7,407.84 and 4,251.08 is: 5,869.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,365.64 : 7,407.84 = 4,251.08 : x
  2. Step 2: Convert to fraction form
    5,365.64/7,407.84 = 4,251.08/x
  3. Step 3: Cross multiply
    5,365.64x = 7,407.84 × 4,251.08
  4. Step 4: Simplify right side
    5,365.64x = 31,491,320.47
  5. Step 5: Solve for x
    x = 31,491,320.47/5,365.64
  6. Step 6: Final answer
    x = 5,869.07

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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.