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Finding the Fourth Proportional to 6,415.60, 9,615.82 and 2,901.48

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Solution

The fourth proportional to 6,415.60, 9,615.82 and 2,901.48 is: 4,348.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.60 : 9,615.82 = 2,901.48 : x
  2. Step 2: Convert to fraction form
    6,415.60/9,615.82 = 2,901.48/x
  3. Step 3: Cross multiply
    6,415.60x = 9,615.82 × 2,901.48
  4. Step 4: Simplify right side
    6,415.60x = 27,900,109.41
  5. Step 5: Solve for x
    x = 27,900,109.41/6,415.60
  6. Step 6: Final answer
    x = 4,348.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.