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Finding the Fourth Proportional to 3,065.27, 4,595.06 and 1,116

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Solution

The fourth proportional to 3,065.27, 4,595.06 and 1,116 is: 1,672.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,065.27 : 4,595.06 = 1,116 : x
  2. Step 2: Convert to fraction form
    3,065.27/4,595.06 = 1,116/x
  3. Step 3: Cross multiply
    3,065.27x = 4,595.06 × 1,116
  4. Step 4: Simplify right side
    3,065.27x = 5,128,089.75
  5. Step 5: Solve for x
    x = 5,128,089.75/3,065.27
  6. Step 6: Final answer
    x = 1,672.97

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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.