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Finding the Fourth Proportional to 5,660.24, 7,810.70 and 3,302.08

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Solution

The fourth proportional to 5,660.24, 7,810.70 and 3,302.08 is: 4,556.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,660.24 : 7,810.70 = 3,302.08 : x
  2. Step 2: Convert to fraction form
    5,660.24/7,810.70 = 3,302.08/x
  3. Step 3: Cross multiply
    5,660.24x = 7,810.70 × 3,302.08
  4. Step 4: Simplify right side
    5,660.24x = 25,791,556.26
  5. Step 5: Solve for x
    x = 25,791,556.26/5,660.24
  6. Step 6: Final answer
    x = 4,556.62

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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.