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Finding the Fourth Proportional to 3,862.98, 5,328.27 and 2,465.10

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Solution

The fourth proportional to 3,862.98, 5,328.27 and 2,465.10 is: 3,400.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.98 : 5,328.27 = 2,465.10 : x
  2. Step 2: Convert to fraction form
    3,862.98/5,328.27 = 2,465.10/x
  3. Step 3: Cross multiply
    3,862.98x = 5,328.27 × 2,465.10
  4. Step 4: Simplify right side
    3,862.98x = 13,134,718.38
  5. Step 5: Solve for x
    x = 13,134,718.38/3,862.98
  6. Step 6: Final answer
    x = 3,400.15

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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.