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Finding the Fourth Proportional to 4,147.66, 6,206.87 and 2,588.40

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Solution

The fourth proportional to 4,147.66, 6,206.87 and 2,588.40 is: 3,873.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,147.66 : 6,206.87 = 2,588.40 : x
  2. Step 2: Convert to fraction form
    4,147.66/6,206.87 = 2,588.40/x
  3. Step 3: Cross multiply
    4,147.66x = 6,206.87 × 2,588.40
  4. Step 4: Simplify right side
    4,147.66x = 16,065,831.27
  5. Step 5: Solve for x
    x = 16,065,831.27/4,147.66
  6. Step 6: Final answer
    x = 3,873.47

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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.