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Finding the Fourth Proportional to 4,574.62, 6,856.64 and 2,104.26

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Solution

The fourth proportional to 4,574.62, 6,856.64 and 2,104.26 is: 3,153.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,574.62 : 6,856.64 = 2,104.26 : x
  2. Step 2: Convert to fraction form
    4,574.62/6,856.64 = 2,104.26/x
  3. Step 3: Cross multiply
    4,574.62x = 6,856.64 × 2,104.26
  4. Step 4: Simplify right side
    4,574.62x = 14,428,125.62
  5. Step 5: Solve for x
    x = 14,428,125.62/4,574.62
  6. Step 6: Final answer
    x = 3,153.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.