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Finding the Fourth Proportional to 5,646.24, 7,790.40 and 3,287.52

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Solution

The fourth proportional to 5,646.24, 7,790.40 and 3,287.52 is: 4,535.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.24 : 7,790.40 = 3,287.52 : x
  2. Step 2: Convert to fraction form
    5,646.24/7,790.40 = 3,287.52/x
  3. Step 3: Cross multiply
    5,646.24x = 7,790.40 × 3,287.52
  4. Step 4: Simplify right side
    5,646.24x = 25,611,095.81
  5. Step 5: Solve for x
    x = 25,611,095.81/5,646.24
  6. Step 6: Final answer
    x = 4,535.96

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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.