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Finding the Fourth Proportional to 4,630.43, 6,392.98 and 4,132.22

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Solution

The fourth proportional to 4,630.43, 6,392.98 and 4,132.22 is: 5,705.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,630.43 : 6,392.98 = 4,132.22 : x
  2. Step 2: Convert to fraction form
    4,630.43/6,392.98 = 4,132.22/x
  3. Step 3: Cross multiply
    4,630.43x = 6,392.98 × 4,132.22
  4. Step 4: Simplify right side
    4,630.43x = 26,417,199.82
  5. Step 5: Solve for x
    x = 26,417,199.82/4,630.43
  6. Step 6: Final answer
    x = 5,705.13

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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.