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Finding the Fourth Proportional to 5,320.88, 7,980.12 and 2,032.80

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Solution

The fourth proportional to 5,320.88, 7,980.12 and 2,032.80 is: 3,048.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,320.88 : 7,980.12 = 2,032.80 : x
  2. Step 2: Convert to fraction form
    5,320.88/7,980.12 = 2,032.80/x
  3. Step 3: Cross multiply
    5,320.88x = 7,980.12 × 2,032.80
  4. Step 4: Simplify right side
    5,320.88x = 16,221,987.94
  5. Step 5: Solve for x
    x = 16,221,987.94/5,320.88
  6. Step 6: Final answer
    x = 3,048.74

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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.