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Finding the Fourth Proportional to 3,482.42, 5,223.56 and 849.94

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Solution

The fourth proportional to 3,482.42, 5,223.56 and 849.94 is: 1,274.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.42 : 5,223.56 = 849.94 : x
  2. Step 2: Convert to fraction form
    3,482.42/5,223.56 = 849.94/x
  3. Step 3: Cross multiply
    3,482.42x = 5,223.56 × 849.94
  4. Step 4: Simplify right side
    3,482.42x = 4,439,695.28
  5. Step 5: Solve for x
    x = 4,439,695.28/3,482.42
  6. Step 6: Final answer
    x = 1,274.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.