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Finding the Fourth Proportional to 3,417.92, 4,716 and 2,176.16

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Solution

The fourth proportional to 3,417.92, 4,716 and 2,176.16 is: 3,002.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,417.92 : 4,716 = 2,176.16 : x
  2. Step 2: Convert to fraction form
    3,417.92/4,716 = 2,176.16/x
  3. Step 3: Cross multiply
    3,417.92x = 4,716 × 2,176.16
  4. Step 4: Simplify right side
    3,417.92x = 10,262,770.56
  5. Step 5: Solve for x
    x = 10,262,770.56/3,417.92
  6. Step 6: Final answer
    x = 3,002.64

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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.