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Finding the Fourth Proportional to 6,206.60, 8,564.14 and 3,687.77

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Solution

The fourth proportional to 6,206.60, 8,564.14 and 3,687.77 is: 5,088.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,206.60 : 8,564.14 = 3,687.77 : x
  2. Step 2: Convert to fraction form
    6,206.60/8,564.14 = 3,687.77/x
  3. Step 3: Cross multiply
    6,206.60x = 8,564.14 × 3,687.77
  4. Step 4: Simplify right side
    6,206.60x = 31,582,578.57
  5. Step 5: Solve for x
    x = 31,582,578.57/6,206.60
  6. Step 6: Final answer
    x = 5,088.55

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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.