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Finding the Fourth Proportional to 6,048.68, 9,070.85 and 2,152.31

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Solution

The fourth proportional to 6,048.68, 9,070.85 and 2,152.31 is: 3,227.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,048.68 : 9,070.85 = 2,152.31 : x
  2. Step 2: Convert to fraction form
    6,048.68/9,070.85 = 2,152.31/x
  3. Step 3: Cross multiply
    6,048.68x = 9,070.85 × 2,152.31
  4. Step 4: Simplify right side
    6,048.68x = 19,523,225.05
  5. Step 5: Solve for x
    x = 19,523,225.05/6,048.68
  6. Step 6: Final answer
    x = 3,227.69

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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.