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Finding the Fourth Proportional to 4,677.14, 7,014.98 and 1,557.20

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Solution

The fourth proportional to 4,677.14, 7,014.98 and 1,557.20 is: 2,335.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677.14 : 7,014.98 = 1,557.20 : x
  2. Step 2: Convert to fraction form
    4,677.14/7,014.98 = 1,557.20/x
  3. Step 3: Cross multiply
    4,677.14x = 7,014.98 × 1,557.20
  4. Step 4: Simplify right side
    4,677.14x = 10,923,726.86
  5. Step 5: Solve for x
    x = 10,923,726.86/4,677.14
  6. Step 6: Final answer
    x = 2,335.56

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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.