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Finding the Fourth Proportional to 4,156.52, 6,232.95 and 1,557.63

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Solution

The fourth proportional to 4,156.52, 6,232.95 and 1,557.63 is: 2,335.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,156.52 : 6,232.95 = 1,557.63 : x
  2. Step 2: Convert to fraction form
    4,156.52/6,232.95 = 1,557.63/x
  3. Step 3: Cross multiply
    4,156.52x = 6,232.95 × 1,557.63
  4. Step 4: Simplify right side
    4,156.52x = 9,708,629.91
  5. Step 5: Solve for x
    x = 9,708,629.91/4,156.52
  6. Step 6: Final answer
    x = 2,335.76

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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.