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Finding the Fourth Proportional to 5,152.74, 7,724.52 and 1,865.10

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Solution

The fourth proportional to 5,152.74, 7,724.52 and 1,865.10 is: 2,795.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152.74 : 7,724.52 = 1,865.10 : x
  2. Step 2: Convert to fraction form
    5,152.74/7,724.52 = 1,865.10/x
  3. Step 3: Cross multiply
    5,152.74x = 7,724.52 × 1,865.10
  4. Step 4: Simplify right side
    5,152.74x = 14,407,002.25
  5. Step 5: Solve for x
    x = 14,407,002.25/5,152.74
  6. Step 6: Final answer
    x = 2,795.99

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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.