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Finding the Fourth Proportional to 3,348.95, 5,022.98 and 883.96

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Solution

The fourth proportional to 3,348.95, 5,022.98 and 883.96 is: 1,325.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,348.95 : 5,022.98 = 883.96 : x
  2. Step 2: Convert to fraction form
    3,348.95/5,022.98 = 883.96/x
  3. Step 3: Cross multiply
    3,348.95x = 5,022.98 × 883.96
  4. Step 4: Simplify right side
    3,348.95x = 4,440,088.29
  5. Step 5: Solve for x
    x = 4,440,088.29/3,348.95
  6. Step 6: Final answer
    x = 1,325.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.