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Finding the Fourth Proportional to 4,208.70, 6,313.05 and 1,287.90

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Solution

The fourth proportional to 4,208.70, 6,313.05 and 1,287.90 is: 1,931.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,208.70 : 6,313.05 = 1,287.90 : x
  2. Step 2: Convert to fraction form
    4,208.70/6,313.05 = 1,287.90/x
  3. Step 3: Cross multiply
    4,208.70x = 6,313.05 × 1,287.90
  4. Step 4: Simplify right side
    4,208.70x = 8,130,577.10
  5. Step 5: Solve for x
    x = 8,130,577.10/4,208.70
  6. Step 6: Final answer
    x = 1,931.85

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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.