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Finding the Fourth Proportional to 5,672.12, 7,828.10 and 3,314.20

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Solution

The fourth proportional to 5,672.12, 7,828.10 and 3,314.20 is: 4,573.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672.12 : 7,828.10 = 3,314.20 : x
  2. Step 2: Convert to fraction form
    5,672.12/7,828.10 = 3,314.20/x
  3. Step 3: Cross multiply
    5,672.12x = 7,828.10 × 3,314.20
  4. Step 4: Simplify right side
    5,672.12x = 25,943,889.02
  5. Step 5: Solve for x
    x = 25,943,889.02/5,672.12
  6. Step 6: Final answer
    x = 4,573.93

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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.