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Finding the Fourth Proportional to 5,311.59, 7,967.65 and 2,024.07

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Solution

The fourth proportional to 5,311.59, 7,967.65 and 2,024.07 is: 3,036.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,311.59 : 7,967.65 = 2,024.07 : x
  2. Step 2: Convert to fraction form
    5,311.59/7,967.65 = 2,024.07/x
  3. Step 3: Cross multiply
    5,311.59x = 7,967.65 × 2,024.07
  4. Step 4: Simplify right side
    5,311.59x = 16,127,041.50
  5. Step 5: Solve for x
    x = 16,127,041.50/5,311.59
  6. Step 6: Final answer
    x = 3,036.20

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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.