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Finding the Fourth Proportional to 3,497.83, 4,833.95 and 2,867.40

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Solution

The fourth proportional to 3,497.83, 4,833.95 and 2,867.40 is: 3,962.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.83 : 4,833.95 = 2,867.40 : x
  2. Step 2: Convert to fraction form
    3,497.83/4,833.95 = 2,867.40/x
  3. Step 3: Cross multiply
    3,497.83x = 4,833.95 × 2,867.40
  4. Step 4: Simplify right side
    3,497.83x = 13,860,878.09
  5. Step 5: Solve for x
    x = 13,860,878.09/3,497.83
  6. Step 6: Final answer
    x = 3,962.70

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1.5x scale

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.