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Finding the Fourth Proportional to 5,708.54, 8,550.43 and 5,569.16

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Solution

The fourth proportional to 5,708.54, 8,550.43 and 5,569.16 is: 8,341.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,708.54 : 8,550.43 = 5,569.16 : x
  2. Step 2: Convert to fraction form
    5,708.54/8,550.43 = 5,569.16/x
  3. Step 3: Cross multiply
    5,708.54x = 8,550.43 × 5,569.16
  4. Step 4: Simplify right side
    5,708.54x = 47,618,656.06
  5. Step 5: Solve for x
    x = 47,618,656.06/5,708.54
  6. Step 6: Final answer
    x = 8,341.65

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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.