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Finding the Fourth Proportional to 5,412.64, 8,114.64 and 4,263.52

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Solution

The fourth proportional to 5,412.64, 8,114.64 and 4,263.52 is: 6,391.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,412.64 : 8,114.64 = 4,263.52 : x
  2. Step 2: Convert to fraction form
    5,412.64/8,114.64 = 4,263.52/x
  3. Step 3: Cross multiply
    5,412.64x = 8,114.64 × 4,263.52
  4. Step 4: Simplify right side
    5,412.64x = 34,596,929.93
  5. Step 5: Solve for x
    x = 34,596,929.93/5,412.64
  6. Step 6: Final answer
    x = 6,391.88

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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.