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Finding the Fourth Proportional to 3,497.41, 4,822.38 and 2,788.70

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Solution

The fourth proportional to 3,497.41, 4,822.38 and 2,788.70 is: 3,845.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.41 : 4,822.38 = 2,788.70 : x
  2. Step 2: Convert to fraction form
    3,497.41/4,822.38 = 2,788.70/x
  3. Step 3: Cross multiply
    3,497.41x = 4,822.38 × 2,788.70
  4. Step 4: Simplify right side
    3,497.41x = 13,448,171.11
  5. Step 5: Solve for x
    x = 13,448,171.11/3,497.41
  6. Step 6: Final answer
    x = 3,845.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.