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Finding the Fourth Proportional to 4,781.59, 6,599.31 and 3,441.63

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Solution

The fourth proportional to 4,781.59, 6,599.31 and 3,441.63 is: 4,749.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,781.59 : 6,599.31 = 3,441.63 : x
  2. Step 2: Convert to fraction form
    4,781.59/6,599.31 = 3,441.63/x
  3. Step 3: Cross multiply
    4,781.59x = 6,599.31 × 3,441.63
  4. Step 4: Simplify right side
    4,781.59x = 22,712,366.07
  5. Step 5: Solve for x
    x = 22,712,366.07/4,781.59
  6. Step 6: Final answer
    x = 4,749.96

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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.