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Finding the Fourth Proportional to 4,842.19, 6,680.50 and 3,585.88

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Solution

The fourth proportional to 4,842.19, 6,680.50 and 3,585.88 is: 4,947.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,842.19 : 6,680.50 = 3,585.88 : x
  2. Step 2: Convert to fraction form
    4,842.19/6,680.50 = 3,585.88/x
  3. Step 3: Cross multiply
    4,842.19x = 6,680.50 × 3,585.88
  4. Step 4: Simplify right side
    4,842.19x = 23,955,471.34
  5. Step 5: Solve for x
    x = 23,955,471.34/4,842.19
  6. Step 6: Final answer
    x = 4,947.24

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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.