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Finding the Fourth Proportional to 3,642.98, 5,024.06 and 2,465.66

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Solution

The fourth proportional to 3,642.98, 5,024.06 and 2,465.66 is: 3,400.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.98 : 5,024.06 = 2,465.66 : x
  2. Step 2: Convert to fraction form
    3,642.98/5,024.06 = 2,465.66/x
  3. Step 3: Cross multiply
    3,642.98x = 5,024.06 × 2,465.66
  4. Step 4: Simplify right side
    3,642.98x = 12,387,623.78
  5. Step 5: Solve for x
    x = 12,387,623.78/3,642.98
  6. Step 6: Final answer
    x = 3,400.41

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