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Finding the Fourth Proportional to 4,569.72, 6,839.62 and 2,484.52

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Solution

The fourth proportional to 4,569.72, 6,839.62 and 2,484.52 is: 3,718.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,569.72 : 6,839.62 = 2,484.52 : x
  2. Step 2: Convert to fraction form
    4,569.72/6,839.62 = 2,484.52/x
  3. Step 3: Cross multiply
    4,569.72x = 6,839.62 × 2,484.52
  4. Step 4: Simplify right side
    4,569.72x = 16,993,172.68
  5. Step 5: Solve for x
    x = 16,993,172.68/4,569.72
  6. Step 6: Final answer
    x = 3,718.65

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Why These Related Problems?

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