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Finding the Fourth Proportional to 5,014.74, 7,522 and 1,727.76

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Solution

The fourth proportional to 5,014.74, 7,522 and 1,727.76 is: 2,591.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,014.74 : 7,522 = 1,727.76 : x
  2. Step 2: Convert to fraction form
    5,014.74/7,522 = 1,727.76/x
  3. Step 3: Cross multiply
    5,014.74x = 7,522 × 1,727.76
  4. Step 4: Simplify right side
    5,014.74x = 12,996,210.72
  5. Step 5: Solve for x
    x = 12,996,210.72/5,014.74
  6. Step 6: Final answer
    x = 2,591.60

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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.