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Finding the Fourth Proportional to 5,206.79, 7,810.32 and 1,311.26

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Solution

The fourth proportional to 5,206.79, 7,810.32 and 1,311.26 is: 1,966.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.79 : 7,810.32 = 1,311.26 : x
  2. Step 2: Convert to fraction form
    5,206.79/7,810.32 = 1,311.26/x
  3. Step 3: Cross multiply
    5,206.79x = 7,810.32 × 1,311.26
  4. Step 4: Simplify right side
    5,206.79x = 10,241,360.20
  5. Step 5: Solve for x
    x = 10,241,360.20/5,206.79
  6. Step 6: Final answer
    x = 1,966.92

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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.