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Finding the Fourth Proportional to 4,275.46, 6,414 and 1,353.52

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Solution

The fourth proportional to 4,275.46, 6,414 and 1,353.52 is: 2,030.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,275.46 : 6,414 = 1,353.52 : x
  2. Step 2: Convert to fraction form
    4,275.46/6,414 = 1,353.52/x
  3. Step 3: Cross multiply
    4,275.46x = 6,414 × 1,353.52
  4. Step 4: Simplify right side
    4,275.46x = 8,681,477.28
  5. Step 5: Solve for x
    x = 8,681,477.28/4,275.46
  6. Step 6: Final answer
    x = 2,030.54

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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.