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Finding the Fourth Proportional to 5,672.68, 7,827.30 and 3,315.16

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Solution

The fourth proportional to 5,672.68, 7,827.30 and 3,315.16 is: 4,574.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672.68 : 7,827.30 = 3,315.16 : x
  2. Step 2: Convert to fraction form
    5,672.68/7,827.30 = 3,315.16/x
  3. Step 3: Cross multiply
    5,672.68x = 7,827.30 × 3,315.16
  4. Step 4: Simplify right side
    5,672.68x = 25,948,751.87
  5. Step 5: Solve for x
    x = 25,948,751.87/5,672.68
  6. Step 6: Final answer
    x = 4,574.34

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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.