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Finding the Fourth Proportional to 3,295.74, 4,547.49 and 2,234.35

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Solution

The fourth proportional to 3,295.74, 4,547.49 and 2,234.35 is: 3,082.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,295.74 : 4,547.49 = 2,234.35 : x
  2. Step 2: Convert to fraction form
    3,295.74/4,547.49 = 2,234.35/x
  3. Step 3: Cross multiply
    3,295.74x = 4,547.49 × 2,234.35
  4. Step 4: Simplify right side
    3,295.74x = 10,160,694.16
  5. Step 5: Solve for x
    x = 10,160,694.16/3,295.74
  6. Step 6: Final answer
    x = 3,082.98

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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.