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Finding the Fourth Proportional to 3,497.64, 4,826.55 and 2,005.48

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Solution

The fourth proportional to 3,497.64, 4,826.55 and 2,005.48 is: 2,767.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.64 : 4,826.55 = 2,005.48 : x
  2. Step 2: Convert to fraction form
    3,497.64/4,826.55 = 2,005.48/x
  3. Step 3: Cross multiply
    3,497.64x = 4,826.55 × 2,005.48
  4. Step 4: Simplify right side
    3,497.64x = 9,679,549.49
  5. Step 5: Solve for x
    x = 9,679,549.49/3,497.64
  6. Step 6: Final answer
    x = 2,767.46

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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.