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Finding the Fourth Proportional to 5,038.76, 7,558.50 and 1,340.97

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Solution

The fourth proportional to 5,038.76, 7,558.50 and 1,340.97 is: 2,011.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,038.76 : 7,558.50 = 1,340.97 : x
  2. Step 2: Convert to fraction form
    5,038.76/7,558.50 = 1,340.97/x
  3. Step 3: Cross multiply
    5,038.76x = 7,558.50 × 1,340.97
  4. Step 4: Simplify right side
    5,038.76x = 10,135,721.75
  5. Step 5: Solve for x
    x = 10,135,721.75/5,038.76
  6. Step 6: Final answer
    x = 2,011.55

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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.