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Finding the Fourth Proportional to 3,807.65, 5,248.28 and 2,548.26

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Solution

The fourth proportional to 3,807.65, 5,248.28 and 2,548.26 is: 3,512.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.65 : 5,248.28 = 2,548.26 : x
  2. Step 2: Convert to fraction form
    3,807.65/5,248.28 = 2,548.26/x
  3. Step 3: Cross multiply
    3,807.65x = 5,248.28 × 2,548.26
  4. Step 4: Simplify right side
    3,807.65x = 13,373,969.25
  5. Step 5: Solve for x
    x = 13,373,969.25/3,807.65
  6. Step 6: Final answer
    x = 3,512.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.