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Finding the Fourth Proportional to 5,696.55, 7,849.57 and 4,202.10

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Solution

The fourth proportional to 5,696.55, 7,849.57 and 4,202.10 is: 5,790.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696.55 : 7,849.57 = 4,202.10 : x
  2. Step 2: Convert to fraction form
    5,696.55/7,849.57 = 4,202.10/x
  3. Step 3: Cross multiply
    5,696.55x = 7,849.57 × 4,202.10
  4. Step 4: Simplify right side
    5,696.55x = 32,984,678.10
  5. Step 5: Solve for x
    x = 32,984,678.10/5,696.55
  6. Step 6: Final answer
    x = 5,790.29

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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.