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Finding the Fourth Proportional to 5,672.65, 7,828.08 and 3,574.75

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Solution

The fourth proportional to 5,672.65, 7,828.08 and 3,574.75 is: 4,933.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672.65 : 7,828.08 = 3,574.75 : x
  2. Step 2: Convert to fraction form
    5,672.65/7,828.08 = 3,574.75/x
  3. Step 3: Cross multiply
    5,672.65x = 7,828.08 × 3,574.75
  4. Step 4: Simplify right side
    5,672.65x = 27,983,428.98
  5. Step 5: Solve for x
    x = 27,983,428.98/5,672.65
  6. Step 6: Final answer
    x = 4,933.04

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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.