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Finding the Fourth Proportional to 6,041.10, 8,343.47 and 4,158.46

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Solution

The fourth proportional to 6,041.10, 8,343.47 and 4,158.46 is: 5,743.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,041.10 : 8,343.47 = 4,158.46 : x
  2. Step 2: Convert to fraction form
    6,041.10/8,343.47 = 4,158.46/x
  3. Step 3: Cross multiply
    6,041.10x = 8,343.47 × 4,158.46
  4. Step 4: Simplify right side
    6,041.10x = 34,695,975.79
  5. Step 5: Solve for x
    x = 34,695,975.79/6,041.10
  6. Step 6: Final answer
    x = 5,743.32

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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.