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Finding the Fourth Proportional to 4,853.40, 7,280.82 and 1,565.40

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Solution

The fourth proportional to 4,853.40, 7,280.82 and 1,565.40 is: 2,348.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,853.40 : 7,280.82 = 1,565.40 : x
  2. Step 2: Convert to fraction form
    4,853.40/7,280.82 = 1,565.40/x
  3. Step 3: Cross multiply
    4,853.40x = 7,280.82 × 1,565.40
  4. Step 4: Simplify right side
    4,853.40x = 11,397,395.63
  5. Step 5: Solve for x
    x = 11,397,395.63/4,853.40
  6. Step 6: Final answer
    x = 2,348.33

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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.