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Finding the Fourth Proportional to 4,277.52, 6,415 and 1,503.66

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Solution

The fourth proportional to 4,277.52, 6,415 and 1,503.66 is: 2,255.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,277.52 : 6,415 = 1,503.66 : x
  2. Step 2: Convert to fraction form
    4,277.52/6,415 = 1,503.66/x
  3. Step 3: Cross multiply
    4,277.52x = 6,415 × 1,503.66
  4. Step 4: Simplify right side
    4,277.52x = 9,645,978.90
  5. Step 5: Solve for x
    x = 9,645,978.90/4,277.52
  6. Step 6: Final answer
    x = 2,255.04

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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.