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Finding the Fourth Proportional to 4,335.90, 6,503.85 and 4,165.80

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Solution

The fourth proportional to 4,335.90, 6,503.85 and 4,165.80 is: 6,248.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,335.90 : 6,503.85 = 4,165.80 : x
  2. Step 2: Convert to fraction form
    4,335.90/6,503.85 = 4,165.80/x
  3. Step 3: Cross multiply
    4,335.90x = 6,503.85 × 4,165.80
  4. Step 4: Simplify right side
    4,335.90x = 27,093,738.33
  5. Step 5: Solve for x
    x = 27,093,738.33/4,335.90
  6. Step 6: Final answer
    x = 6,248.70

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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.