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Finding the Fourth Proportional to 6,417.85, 8,856.53 and 3,585.27

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Solution

The fourth proportional to 6,417.85, 8,856.53 and 3,585.27 is: 4,947.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,417.85 : 8,856.53 = 3,585.27 : x
  2. Step 2: Convert to fraction form
    6,417.85/8,856.53 = 3,585.27/x
  3. Step 3: Cross multiply
    6,417.85x = 8,856.53 × 3,585.27
  4. Step 4: Simplify right side
    6,417.85x = 31,753,051.31
  5. Step 5: Solve for x
    x = 31,753,051.31/6,417.85
  6. Step 6: Final answer
    x = 4,947.62

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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.