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Finding the Fourth Proportional to 4,659.12, 6,977.27 and 3,010.70

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Solution

The fourth proportional to 4,659.12, 6,977.27 and 3,010.70 is: 4,508.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659.12 : 6,977.27 = 3,010.70 : x
  2. Step 2: Convert to fraction form
    4,659.12/6,977.27 = 3,010.70/x
  3. Step 3: Cross multiply
    4,659.12x = 6,977.27 × 3,010.70
  4. Step 4: Simplify right side
    4,659.12x = 21,006,491.76
  5. Step 5: Solve for x
    x = 21,006,491.76/4,659.12
  6. Step 6: Final answer
    x = 4,508.68

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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.