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Finding the Fourth Proportional to 3,642.89, 5,029.00 and 2,470.10

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Solution

The fourth proportional to 3,642.89, 5,029.00 and 2,470.10 is: 3,409.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.89 : 5,029.00 = 2,470.10 : x
  2. Step 2: Convert to fraction form
    3,642.89/5,029.00 = 2,470.10/x
  3. Step 3: Cross multiply
    3,642.89x = 5,029.00 × 2,470.10
  4. Step 4: Simplify right side
    3,642.89x = 12,422,101.58
  5. Step 5: Solve for x
    x = 12,422,101.58/3,642.89
  6. Step 6: Final answer
    x = 3,409.96

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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.