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Finding the Fourth Proportional to 5,674.41, 7,828.52 and 3,434.76

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Solution

The fourth proportional to 5,674.41, 7,828.52 and 3,434.76 is: 4,738.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.41 : 7,828.52 = 3,434.76 : x
  2. Step 2: Convert to fraction form
    5,674.41/7,828.52 = 3,434.76/x
  3. Step 3: Cross multiply
    5,674.41x = 7,828.52 × 3,434.76
  4. Step 4: Simplify right side
    5,674.41x = 26,889,070.18
  5. Step 5: Solve for x
    x = 26,889,070.18/5,674.41
  6. Step 6: Final answer
    x = 4,738.65

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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.