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Finding the Fourth Proportional to 5,255.28, 7,875.36 and 3,613.68

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Solution

The fourth proportional to 5,255.28, 7,875.36 and 3,613.68 is: 5,415.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,255.28 : 7,875.36 = 3,613.68 : x
  2. Step 2: Convert to fraction form
    5,255.28/7,875.36 = 3,613.68/x
  3. Step 3: Cross multiply
    5,255.28x = 7,875.36 × 3,613.68
  4. Step 4: Simplify right side
    5,255.28x = 28,459,030.92
  5. Step 5: Solve for x
    x = 28,459,030.92/5,255.28
  6. Step 6: Final answer
    x = 5,415.32

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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.