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Finding the Fourth Proportional to 3,585.89, 4,947.14 and 2,643.92

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Solution

The fourth proportional to 3,585.89, 4,947.14 and 2,643.92 is: 3,647.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,585.89 : 4,947.14 = 2,643.92 : x
  2. Step 2: Convert to fraction form
    3,585.89/4,947.14 = 2,643.92/x
  3. Step 3: Cross multiply
    3,585.89x = 4,947.14 × 2,643.92
  4. Step 4: Simplify right side
    3,585.89x = 13,079,842.81
  5. Step 5: Solve for x
    x = 13,079,842.81/3,585.89
  6. Step 6: Final answer
    x = 3,647.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.