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Finding the Fourth Proportional to 3,432.40, 5,143.82 and 3,090.98

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Solution

The fourth proportional to 3,432.40, 5,143.82 and 3,090.98 is: 4,632.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,432.40 : 5,143.82 = 3,090.98 : x
  2. Step 2: Convert to fraction form
    3,432.40/5,143.82 = 3,090.98/x
  3. Step 3: Cross multiply
    3,432.40x = 5,143.82 × 3,090.98
  4. Step 4: Simplify right side
    3,432.40x = 15,899,444.74
  5. Step 5: Solve for x
    x = 15,899,444.74/3,432.40
  6. Step 6: Final answer
    x = 4,632.17

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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.