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Finding the Fourth Proportional to 5,290.65, 7,301.33 and 2,932.64

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Solution

The fourth proportional to 5,290.65, 7,301.33 and 2,932.64 is: 4,047.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,290.65 : 7,301.33 = 2,932.64 : x
  2. Step 2: Convert to fraction form
    5,290.65/7,301.33 = 2,932.64/x
  3. Step 3: Cross multiply
    5,290.65x = 7,301.33 × 2,932.64
  4. Step 4: Simplify right side
    5,290.65x = 21,412,121.24
  5. Step 5: Solve for x
    x = 21,412,121.24/5,290.65
  6. Step 6: Final answer
    x = 4,047.16

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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.