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Finding the Fourth Proportional to 5,954.32, 8,220.18 and 4,461.70

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Solution

The fourth proportional to 5,954.32, 8,220.18 and 4,461.70 is: 6,159.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,954.32 : 8,220.18 = 4,461.70 : x
  2. Step 2: Convert to fraction form
    5,954.32/8,220.18 = 4,461.70/x
  3. Step 3: Cross multiply
    5,954.32x = 8,220.18 × 4,461.70
  4. Step 4: Simplify right side
    5,954.32x = 36,675,977.11
  5. Step 5: Solve for x
    x = 36,675,977.11/5,954.32
  6. Step 6: Final answer
    x = 6,159.56

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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.