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Finding the Fourth Proportional to 3,448.70, 4,758.55 and 2,384.82

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Solution

The fourth proportional to 3,448.70, 4,758.55 and 2,384.82 is: 3,290.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,448.70 : 4,758.55 = 2,384.82 : x
  2. Step 2: Convert to fraction form
    3,448.70/4,758.55 = 2,384.82/x
  3. Step 3: Cross multiply
    3,448.70x = 4,758.55 × 2,384.82
  4. Step 4: Simplify right side
    3,448.70x = 11,348,279.25
  5. Step 5: Solve for x
    x = 11,348,279.25/3,448.70
  6. Step 6: Final answer
    x = 3,290.60

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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.