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Finding the Fourth Proportional to 3,348.50, 5,022.76 and 1,040

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Solution

The fourth proportional to 3,348.50, 5,022.76 and 1,040 is: 1,560.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,348.50 : 5,022.76 = 1,040 : x
  2. Step 2: Convert to fraction form
    3,348.50/5,022.76 = 1,040/x
  3. Step 3: Cross multiply
    3,348.50x = 5,022.76 × 1,040
  4. Step 4: Simplify right side
    3,348.50x = 5,223,670.40
  5. Step 5: Solve for x
    x = 5,223,670.40/3,348.50
  6. Step 6: Final answer
    x = 1,560.00

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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.