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Finding the Fourth Proportional to 3,584.76, 4,950.72 and 2,468.58

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Solution

The fourth proportional to 3,584.76, 4,950.72 and 2,468.58 is: 3,409.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584.76 : 4,950.72 = 2,468.58 : x
  2. Step 2: Convert to fraction form
    3,584.76/4,950.72 = 2,468.58/x
  3. Step 3: Cross multiply
    3,584.76x = 4,950.72 × 2,468.58
  4. Step 4: Simplify right side
    3,584.76x = 12,221,248.38
  5. Step 5: Solve for x
    x = 12,221,248.38/3,584.76
  6. Step 6: Final answer
    x = 3,409.22

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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.