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Finding the Fourth Proportional to 5,970.24, 8,232.84 and 4,291.92

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Solution

The fourth proportional to 5,970.24, 8,232.84 and 4,291.92 is: 5,918.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,970.24 : 8,232.84 = 4,291.92 : x
  2. Step 2: Convert to fraction form
    5,970.24/8,232.84 = 4,291.92/x
  3. Step 3: Cross multiply
    5,970.24x = 8,232.84 × 4,291.92
  4. Step 4: Simplify right side
    5,970.24x = 35,334,690.65
  5. Step 5: Solve for x
    x = 35,334,690.65/5,970.24
  6. Step 6: Final answer
    x = 5,918.47

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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.