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Finding the Fourth Proportional to 4,283.52, 6,411.84 and 3,454.08

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Solution

The fourth proportional to 4,283.52, 6,411.84 and 3,454.08 is: 5,170.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,283.52 : 6,411.84 = 3,454.08 : x
  2. Step 2: Convert to fraction form
    4,283.52/6,411.84 = 3,454.08/x
  3. Step 3: Cross multiply
    4,283.52x = 6,411.84 × 3,454.08
  4. Step 4: Simplify right side
    4,283.52x = 22,147,008.31
  5. Step 5: Solve for x
    x = 22,147,008.31/4,283.52
  6. Step 6: Final answer
    x = 5,170.28

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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.