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Finding the Fourth Proportional to 4,092.88, 6,140.04 and 1,320.16

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Solution

The fourth proportional to 4,092.88, 6,140.04 and 1,320.16 is: 1,980.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,092.88 : 6,140.04 = 1,320.16 : x
  2. Step 2: Convert to fraction form
    4,092.88/6,140.04 = 1,320.16/x
  3. Step 3: Cross multiply
    4,092.88x = 6,140.04 × 1,320.16
  4. Step 4: Simplify right side
    4,092.88x = 8,105,835.21
  5. Step 5: Solve for x
    x = 8,105,835.21/4,092.88
  6. Step 6: Final answer
    x = 1,980.47

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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.