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Finding the Fourth Proportional to 5,397.72, 8,058.56 and 4,618.02

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Solution

The fourth proportional to 5,397.72, 8,058.56 and 4,618.02 is: 6,894.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,397.72 : 8,058.56 = 4,618.02 : x
  2. Step 2: Convert to fraction form
    5,397.72/8,058.56 = 4,618.02/x
  3. Step 3: Cross multiply
    5,397.72x = 8,058.56 × 4,618.02
  4. Step 4: Simplify right side
    5,397.72x = 37,214,591.25
  5. Step 5: Solve for x
    x = 37,214,591.25/5,397.72
  6. Step 6: Final answer
    x = 6,894.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.