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Finding the Fourth Proportional to 5,643.47, 8,478.30 and 3,541.56

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Solution

The fourth proportional to 5,643.47, 8,478.30 and 3,541.56 is: 5,320.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.47 : 8,478.30 = 3,541.56 : x
  2. Step 2: Convert to fraction form
    5,643.47/8,478.30 = 3,541.56/x
  3. Step 3: Cross multiply
    5,643.47x = 8,478.30 × 3,541.56
  4. Step 4: Simplify right side
    5,643.47x = 30,026,408.15
  5. Step 5: Solve for x
    x = 30,026,408.15/5,643.47
  6. Step 6: Final answer
    x = 5,320.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.