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Finding the Fourth Proportional to 4,770.59, 6,585.88 and 3,705.97

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Solution

The fourth proportional to 4,770.59, 6,585.88 and 3,705.97 is: 5,116.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,770.59 : 6,585.88 = 3,705.97 : x
  2. Step 2: Convert to fraction form
    4,770.59/6,585.88 = 3,705.97/x
  3. Step 3: Cross multiply
    4,770.59x = 6,585.88 × 3,705.97
  4. Step 4: Simplify right side
    4,770.59x = 24,407,040.77
  5. Step 5: Solve for x
    x = 24,407,040.77/4,770.59
  6. Step 6: Final answer
    x = 5,116.15

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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.