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Finding the Fourth Proportional to 3,432.97, 4,739.48 and 2,386.45

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Solution

The fourth proportional to 3,432.97, 4,739.48 and 2,386.45 is: 3,294.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,432.97 : 4,739.48 = 2,386.45 : x
  2. Step 2: Convert to fraction form
    3,432.97/4,739.48 = 2,386.45/x
  3. Step 3: Cross multiply
    3,432.97x = 4,739.48 × 2,386.45
  4. Step 4: Simplify right side
    3,432.97x = 11,310,532.05
  5. Step 5: Solve for x
    x = 11,310,532.05/3,432.97
  6. Step 6: Final answer
    x = 3,294.68

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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.