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Finding the Fourth Proportional to 5,002.68, 7,499.76 and 3,056.25

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Solution

The fourth proportional to 5,002.68, 7,499.76 and 3,056.25 is: 4,581.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,002.68 : 7,499.76 = 3,056.25 : x
  2. Step 2: Convert to fraction form
    5,002.68/7,499.76 = 3,056.25/x
  3. Step 3: Cross multiply
    5,002.68x = 7,499.76 × 3,056.25
  4. Step 4: Simplify right side
    5,002.68x = 22,921,141.50
  5. Step 5: Solve for x
    x = 22,921,141.50/5,002.68
  6. Step 6: Final answer
    x = 4,581.77

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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.