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Finding the Fourth Proportional to 4,975.68, 7,475.04 and 4,307.52

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Solution

The fourth proportional to 4,975.68, 7,475.04 and 4,307.52 is: 6,471.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,975.68 : 7,475.04 = 4,307.52 : x
  2. Step 2: Convert to fraction form
    4,975.68/7,475.04 = 4,307.52/x
  3. Step 3: Cross multiply
    4,975.68x = 7,475.04 × 4,307.52
  4. Step 4: Simplify right side
    4,975.68x = 32,198,884.30
  5. Step 5: Solve for x
    x = 32,198,884.30/4,975.68
  6. Step 6: Final answer
    x = 6,471.25

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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.