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Finding the Fourth Proportional to 3,471.32, 5,207.52 and 1,130.78

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Solution

The fourth proportional to 3,471.32, 5,207.52 and 1,130.78 is: 1,696.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.32 : 5,207.52 = 1,130.78 : x
  2. Step 2: Convert to fraction form
    3,471.32/5,207.52 = 1,130.78/x
  3. Step 3: Cross multiply
    3,471.32x = 5,207.52 × 1,130.78
  4. Step 4: Simplify right side
    3,471.32x = 5,888,529.19
  5. Step 5: Solve for x
    x = 5,888,529.19/3,471.32
  6. Step 6: Final answer
    x = 1,696.34

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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.