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Finding the Fourth Proportional to 5,616.65, 8,414.45 and 4,698.11

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Solution

The fourth proportional to 5,616.65, 8,414.45 and 4,698.11 is: 7,038.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,616.65 : 8,414.45 = 4,698.11 : x
  2. Step 2: Convert to fraction form
    5,616.65/8,414.45 = 4,698.11/x
  3. Step 3: Cross multiply
    5,616.65x = 8,414.45 × 4,698.11
  4. Step 4: Simplify right side
    5,616.65x = 39,531,988.20
  5. Step 5: Solve for x
    x = 39,531,988.20/5,616.65
  6. Step 6: Final answer
    x = 7,038.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.