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Finding the Fourth Proportional to 4,209.67, 6,313.24 and 1,287.90

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Solution

The fourth proportional to 4,209.67, 6,313.24 and 1,287.90 is: 1,931.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,209.67 : 6,313.24 = 1,287.90 : x
  2. Step 2: Convert to fraction form
    4,209.67/6,313.24 = 1,287.90/x
  3. Step 3: Cross multiply
    4,209.67x = 6,313.24 × 1,287.90
  4. Step 4: Simplify right side
    4,209.67x = 8,130,823.41
  5. Step 5: Solve for x
    x = 8,130,823.41/4,209.67
  6. Step 6: Final answer
    x = 1,931.46

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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.