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Finding the Fourth Proportional to 3,117.33, 4,672.10 and 1,557.77

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Solution

The fourth proportional to 3,117.33, 4,672.10 and 1,557.77 is: 2,334.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.33 : 4,672.10 = 1,557.77 : x
  2. Step 2: Convert to fraction form
    3,117.33/4,672.10 = 1,557.77/x
  3. Step 3: Cross multiply
    3,117.33x = 4,672.10 × 1,557.77
  4. Step 4: Simplify right side
    3,117.33x = 7,278,057.22
  5. Step 5: Solve for x
    x = 7,278,057.22/3,117.33
  6. Step 6: Final answer
    x = 2,334.71

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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.