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Finding the Fourth Proportional to 3,439.03, 5,158.55 and 841.98

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Solution

The fourth proportional to 3,439.03, 5,158.55 and 841.98 is: 1,262.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,439.03 : 5,158.55 = 841.98 : x
  2. Step 2: Convert to fraction form
    3,439.03/5,158.55 = 841.98/x
  3. Step 3: Cross multiply
    3,439.03x = 5,158.55 × 841.98
  4. Step 4: Simplify right side
    3,439.03x = 4,343,395.93
  5. Step 5: Solve for x
    x = 4,343,395.93/3,439.03
  6. Step 6: Final answer
    x = 1,262.97

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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.