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Finding the Fourth Proportional to 5,641.30, 7,782.23 and 3,653.56

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Solution

The fourth proportional to 5,641.30, 7,782.23 and 3,653.56 is: 5,040.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.30 : 7,782.23 = 3,653.56 : x
  2. Step 2: Convert to fraction form
    5,641.30/7,782.23 = 3,653.56/x
  3. Step 3: Cross multiply
    5,641.30x = 7,782.23 × 3,653.56
  4. Step 4: Simplify right side
    5,641.30x = 28,432,844.24
  5. Step 5: Solve for x
    x = 28,432,844.24/5,641.30
  6. Step 6: Final answer
    x = 5,040.12

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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.