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Finding the Fourth Proportional to 3,877.65, 5,816.16 and 1,280.52

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Solution

The fourth proportional to 3,877.65, 5,816.16 and 1,280.52 is: 1,920.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.65 : 5,816.16 = 1,280.52 : x
  2. Step 2: Convert to fraction form
    3,877.65/5,816.16 = 1,280.52/x
  3. Step 3: Cross multiply
    3,877.65x = 5,816.16 × 1,280.52
  4. Step 4: Simplify right side
    3,877.65x = 7,447,709.20
  5. Step 5: Solve for x
    x = 7,447,709.20/3,877.65
  6. Step 6: Final answer
    x = 1,920.68

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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.