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Finding the Fourth Proportional to 5,956.14, 8,219.70 and 4,461.42

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Solution

The fourth proportional to 5,956.14, 8,219.70 and 4,461.42 is: 6,156.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,956.14 : 8,219.70 = 4,461.42 : x
  2. Step 2: Convert to fraction form
    5,956.14/8,219.70 = 4,461.42/x
  3. Step 3: Cross multiply
    5,956.14x = 8,219.70 × 4,461.42
  4. Step 4: Simplify right side
    5,956.14x = 36,671,533.97
  5. Step 5: Solve for x
    x = 36,671,533.97/5,956.14
  6. Step 6: Final answer
    x = 6,156.93

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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.