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Finding the Fourth Proportional to 5,087.76, 7,650.12 and 4,681.74

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Solution

The fourth proportional to 5,087.76, 7,650.12 and 4,681.74 is: 7,039.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,087.76 : 7,650.12 = 4,681.74 : x
  2. Step 2: Convert to fraction form
    5,087.76/7,650.12 = 4,681.74/x
  3. Step 3: Cross multiply
    5,087.76x = 7,650.12 × 4,681.74
  4. Step 4: Simplify right side
    5,087.76x = 35,815,872.81
  5. Step 5: Solve for x
    x = 35,815,872.81/5,087.76
  6. Step 6: Final answer
    x = 7,039.62

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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.