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Finding the Fourth Proportional to 3,348.72, 5,022.80 and 1,040

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Solution

The fourth proportional to 3,348.72, 5,022.80 and 1,040 is: 1,559.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,348.72 : 5,022.80 = 1,040 : x
  2. Step 2: Convert to fraction form
    3,348.72/5,022.80 = 1,040/x
  3. Step 3: Cross multiply
    3,348.72x = 5,022.80 × 1,040
  4. Step 4: Simplify right side
    3,348.72x = 5,223,712
  5. Step 5: Solve for x
    x = 5,223,712/3,348.72
  6. Step 6: Final answer
    x = 1,559.91

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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.