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Finding the Fourth Proportional to 3,678.88, 5,516.49 and 1,570.17

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Solution

The fourth proportional to 3,678.88, 5,516.49 and 1,570.17 is: 2,354.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.88 : 5,516.49 = 1,570.17 : x
  2. Step 2: Convert to fraction form
    3,678.88/5,516.49 = 1,570.17/x
  3. Step 3: Cross multiply
    3,678.88x = 5,516.49 × 1,570.17
  4. Step 4: Simplify right side
    3,678.88x = 8,661,827.10
  5. Step 5: Solve for x
    x = 8,661,827.10/3,678.88
  6. Step 6: Final answer
    x = 2,354.47

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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.