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Finding the Fourth Proportional to 5,256.69, 7,882.65 and 1,557.63

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Solution

The fourth proportional to 5,256.69, 7,882.65 and 1,557.63 is: 2,335.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,256.69 : 7,882.65 = 1,557.63 : x
  2. Step 2: Convert to fraction form
    5,256.69/7,882.65 = 1,557.63/x
  3. Step 3: Cross multiply
    5,256.69x = 7,882.65 × 1,557.63
  4. Step 4: Simplify right side
    5,256.69x = 12,278,252.12
  5. Step 5: Solve for x
    x = 12,278,252.12/5,256.69
  6. Step 6: Final answer
    x = 2,335.74

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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.