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Finding the Fourth Proportional to 5,038.38, 6,956.35 and 4,505.60

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Solution

The fourth proportional to 5,038.38, 6,956.35 and 4,505.60 is: 6,220.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,038.38 : 6,956.35 = 4,505.60 : x
  2. Step 2: Convert to fraction form
    5,038.38/6,956.35 = 4,505.60/x
  3. Step 3: Cross multiply
    5,038.38x = 6,956.35 × 4,505.60
  4. Step 4: Simplify right side
    5,038.38x = 31,342,508.03
  5. Step 5: Solve for x
    x = 31,342,508.03/5,038.38
  6. Step 6: Final answer
    x = 6,220.76

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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.