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Finding the Fourth Proportional to 6,032.66, 9,048.16 and 2,139.80

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Solution

The fourth proportional to 6,032.66, 9,048.16 and 2,139.80 is: 3,209.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,032.66 : 9,048.16 = 2,139.80 : x
  2. Step 2: Convert to fraction form
    6,032.66/9,048.16 = 2,139.80/x
  3. Step 3: Cross multiply
    6,032.66x = 9,048.16 × 2,139.80
  4. Step 4: Simplify right side
    6,032.66x = 19,361,252.77
  5. Step 5: Solve for x
    x = 19,361,252.77/6,032.66
  6. Step 6: Final answer
    x = 3,209.41

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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.