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Finding the Fourth Proportional to 4,616.87, 6,370.76 and 2,599.90

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Solution

The fourth proportional to 4,616.87, 6,370.76 and 2,599.90 is: 3,587.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,616.87 : 6,370.76 = 2,599.90 : x
  2. Step 2: Convert to fraction form
    4,616.87/6,370.76 = 2,599.90/x
  3. Step 3: Cross multiply
    4,616.87x = 6,370.76 × 2,599.90
  4. Step 4: Simplify right side
    4,616.87x = 16,563,329.50
  5. Step 5: Solve for x
    x = 16,563,329.50/4,616.87
  6. Step 6: Final answer
    x = 3,587.57

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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.