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Finding the Fourth Proportional to 3,899.35, 5,386.80 and 3,374.47

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Solution

The fourth proportional to 3,899.35, 5,386.80 and 3,374.47 is: 4,661.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899.35 : 5,386.80 = 3,374.47 : x
  2. Step 2: Convert to fraction form
    3,899.35/5,386.80 = 3,374.47/x
  3. Step 3: Cross multiply
    3,899.35x = 5,386.80 × 3,374.47
  4. Step 4: Simplify right side
    3,899.35x = 18,177,595.00
  5. Step 5: Solve for x
    x = 18,177,595.00/3,899.35
  6. Step 6: Final answer
    x = 4,661.70

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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.