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Finding the Fourth Proportional to 5,541.52, 8,302.54 and 4,938.88

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Solution

The fourth proportional to 5,541.52, 8,302.54 and 4,938.88 is: 7,399.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,541.52 : 8,302.54 = 4,938.88 : x
  2. Step 2: Convert to fraction form
    5,541.52/8,302.54 = 4,938.88/x
  3. Step 3: Cross multiply
    5,541.52x = 8,302.54 × 4,938.88
  4. Step 4: Simplify right side
    5,541.52x = 41,005,248.76
  5. Step 5: Solve for x
    x = 41,005,248.76/5,541.52
  6. Step 6: Final answer
    x = 7,399.64

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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.