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Finding the Fourth Proportional to 3,423.39, 4,724.06 and 1,931.43

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Solution

The fourth proportional to 3,423.39, 4,724.06 and 1,931.43 is: 2,665.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,423.39 : 4,724.06 = 1,931.43 : x
  2. Step 2: Convert to fraction form
    3,423.39/4,724.06 = 1,931.43/x
  3. Step 3: Cross multiply
    3,423.39x = 4,724.06 × 1,931.43
  4. Step 4: Simplify right side
    3,423.39x = 9,124,199.26
  5. Step 5: Solve for x
    x = 9,124,199.26/3,423.39
  6. Step 6: Final answer
    x = 2,665.26

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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.