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Finding the Fourth Proportional to 4,578.63, 6,866.57 and 2,498.24

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Solution

The fourth proportional to 4,578.63, 6,866.57 and 2,498.24 is: 3,746.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,578.63 : 6,866.57 = 2,498.24 : x
  2. Step 2: Convert to fraction form
    4,578.63/6,866.57 = 2,498.24/x
  3. Step 3: Cross multiply
    4,578.63x = 6,866.57 × 2,498.24
  4. Step 4: Simplify right side
    4,578.63x = 17,154,363.25
  5. Step 5: Solve for x
    x = 17,154,363.25/4,578.63
  6. Step 6: Final answer
    x = 3,746.62

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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.