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Finding the Fourth Proportional to 6,564.40, 9,058.88 and 4,207.92

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Solution

The fourth proportional to 6,564.40, 9,058.88 and 4,207.92 is: 5,806.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564.40 : 9,058.88 = 4,207.92 : x
  2. Step 2: Convert to fraction form
    6,564.40/9,058.88 = 4,207.92/x
  3. Step 3: Cross multiply
    6,564.40x = 9,058.88 × 4,207.92
  4. Step 4: Simplify right side
    6,564.40x = 38,119,042.33
  5. Step 5: Solve for x
    x = 38,119,042.33/6,564.40
  6. Step 6: Final answer
    x = 5,806.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.