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Finding the Fourth Proportional to 4,616.04, 6,925.54 and 2,150.78

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Solution

The fourth proportional to 4,616.04, 6,925.54 and 2,150.78 is: 3,226.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,616.04 : 6,925.54 = 2,150.78 : x
  2. Step 2: Convert to fraction form
    4,616.04/6,925.54 = 2,150.78/x
  3. Step 3: Cross multiply
    4,616.04x = 6,925.54 × 2,150.78
  4. Step 4: Simplify right side
    4,616.04x = 14,895,312.92
  5. Step 5: Solve for x
    x = 14,895,312.92/4,616.04
  6. Step 6: Final answer
    x = 3,226.86

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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.