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Finding the Fourth Proportional to 5,672.16, 7,828.28 and 3,434.82

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Solution

The fourth proportional to 5,672.16, 7,828.28 and 3,434.82 is: 4,740.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672.16 : 7,828.28 = 3,434.82 : x
  2. Step 2: Convert to fraction form
    5,672.16/7,828.28 = 3,434.82/x
  3. Step 3: Cross multiply
    5,672.16x = 7,828.28 × 3,434.82
  4. Step 4: Simplify right side
    5,672.16x = 26,888,732.71
  5. Step 5: Solve for x
    x = 26,888,732.71/5,672.16
  6. Step 6: Final answer
    x = 4,740.48

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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.