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Finding the Fourth Proportional to 4,275.66, 6,414.84 and 1,354.08

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Solution

The fourth proportional to 4,275.66, 6,414.84 and 1,354.08 is: 2,031.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,275.66 : 6,414.84 = 1,354.08 : x
  2. Step 2: Convert to fraction form
    4,275.66/6,414.84 = 1,354.08/x
  3. Step 3: Cross multiply
    4,275.66x = 6,414.84 × 1,354.08
  4. Step 4: Simplify right side
    4,275.66x = 8,686,206.55
  5. Step 5: Solve for x
    x = 8,686,206.55/4,275.66
  6. Step 6: Final answer
    x = 2,031.55

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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.