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Finding the Fourth Proportional to 4,094.47, 6,143 and 1,461.92

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Solution

The fourth proportional to 4,094.47, 6,143 and 1,461.92 is: 2,193.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,094.47 : 6,143 = 1,461.92 : x
  2. Step 2: Convert to fraction form
    4,094.47/6,143 = 1,461.92/x
  3. Step 3: Cross multiply
    4,094.47x = 6,143 × 1,461.92
  4. Step 4: Simplify right side
    4,094.47x = 8,980,543.85
  5. Step 5: Solve for x
    x = 8,980,543.85/4,094.47
  6. Step 6: Final answer
    x = 2,193.33

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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.