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Finding the Fourth Proportional to 4,902.12, 7,315.05 and 4,326.12

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Solution

The fourth proportional to 4,902.12, 7,315.05 and 4,326.12 is: 6,455.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.12 : 7,315.05 = 4,326.12 : x
  2. Step 2: Convert to fraction form
    4,902.12/7,315.05 = 4,326.12/x
  3. Step 3: Cross multiply
    4,902.12x = 7,315.05 × 4,326.12
  4. Step 4: Simplify right side
    4,902.12x = 31,645,784.11
  5. Step 5: Solve for x
    x = 31,645,784.11/4,902.12
  6. Step 6: Final answer
    x = 6,455.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.