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Finding the Fourth Proportional to 3,840.66, 5,298.49 and 2,348.10

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Solution

The fourth proportional to 3,840.66, 5,298.49 and 2,348.10 is: 3,239.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.66 : 5,298.49 = 2,348.10 : x
  2. Step 2: Convert to fraction form
    3,840.66/5,298.49 = 2,348.10/x
  3. Step 3: Cross multiply
    3,840.66x = 5,298.49 × 2,348.10
  4. Step 4: Simplify right side
    3,840.66x = 12,441,346.14
  5. Step 5: Solve for x
    x = 12,441,346.14/3,840.66
  6. Step 6: Final answer
    x = 3,239.38

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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.