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Finding the Fourth Proportional to 4,578.66, 6,868.49 and 1,656.32

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Solution

The fourth proportional to 4,578.66, 6,868.49 and 1,656.32 is: 2,484.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,578.66 : 6,868.49 = 1,656.32 : x
  2. Step 2: Convert to fraction form
    4,578.66/6,868.49 = 1,656.32/x
  3. Step 3: Cross multiply
    4,578.66x = 6,868.49 × 1,656.32
  4. Step 4: Simplify right side
    4,578.66x = 11,376,374.73
  5. Step 5: Solve for x
    x = 11,376,374.73/4,578.66
  6. Step 6: Final answer
    x = 2,484.65

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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.