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Finding the Fourth Proportional to 3,866.16, 5,775.72 and 2,468.28

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Solution

The fourth proportional to 3,866.16, 5,775.72 and 2,468.28 is: 3,687.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.16 : 5,775.72 = 2,468.28 : x
  2. Step 2: Convert to fraction form
    3,866.16/5,775.72 = 2,468.28/x
  3. Step 3: Cross multiply
    3,866.16x = 5,775.72 × 2,468.28
  4. Step 4: Simplify right side
    3,866.16x = 14,256,094.16
  5. Step 5: Solve for x
    x = 14,256,094.16/3,866.16
  6. Step 6: Final answer
    x = 3,687.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.