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Finding the Fourth Proportional to 5,776.24, 7,970.84 and 3,292.08

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Solution

The fourth proportional to 5,776.24, 7,970.84 and 3,292.08 is: 4,542.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,776.24 : 7,970.84 = 3,292.08 : x
  2. Step 2: Convert to fraction form
    5,776.24/7,970.84 = 3,292.08/x
  3. Step 3: Cross multiply
    5,776.24x = 7,970.84 × 3,292.08
  4. Step 4: Simplify right side
    5,776.24x = 26,240,642.95
  5. Step 5: Solve for x
    x = 26,240,642.95/5,776.24
  6. Step 6: Final answer
    x = 4,542.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.