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Finding the Fourth Proportional to 5,154.71, 7,728.99 and 1,866.70

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Solution

The fourth proportional to 5,154.71, 7,728.99 and 1,866.70 is: 2,798.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,154.71 : 7,728.99 = 1,866.70 : x
  2. Step 2: Convert to fraction form
    5,154.71/7,728.99 = 1,866.70/x
  3. Step 3: Cross multiply
    5,154.71x = 7,728.99 × 1,866.70
  4. Step 4: Simplify right side
    5,154.71x = 14,427,680.57
  5. Step 5: Solve for x
    x = 14,427,680.57/5,154.71
  6. Step 6: Final answer
    x = 2,798.93

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1.5x scale

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.