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Finding the Fourth Proportional to 5,604.71, 8,407.07 and 2,314.19

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Solution

The fourth proportional to 5,604.71, 8,407.07 and 2,314.19 is: 3,471.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,604.71 : 8,407.07 = 2,314.19 : x
  2. Step 2: Convert to fraction form
    5,604.71/8,407.07 = 2,314.19/x
  3. Step 3: Cross multiply
    5,604.71x = 8,407.07 × 2,314.19
  4. Step 4: Simplify right side
    5,604.71x = 19,455,503.72
  5. Step 5: Solve for x
    x = 19,455,503.72/5,604.71
  6. Step 6: Final answer
    x = 3,471.28

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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.