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Finding the Fourth Proportional to 3,340.71, 5,008.94 and 1,584.63

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Solution

The fourth proportional to 3,340.71, 5,008.94 and 1,584.63 is: 2,375.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,340.71 : 5,008.94 = 1,584.63 : x
  2. Step 2: Convert to fraction form
    3,340.71/5,008.94 = 1,584.63/x
  3. Step 3: Cross multiply
    3,340.71x = 5,008.94 × 1,584.63
  4. Step 4: Simplify right side
    3,340.71x = 7,937,314.61
  5. Step 5: Solve for x
    x = 7,937,314.61/3,340.71
  6. Step 6: Final answer
    x = 2,375.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.