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Finding the Fourth Proportional to 4,834.40, 7,251.64 and 2,530.40

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Solution

The fourth proportional to 4,834.40, 7,251.64 and 2,530.40 is: 3,795.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,834.40 : 7,251.64 = 2,530.40 : x
  2. Step 2: Convert to fraction form
    4,834.40/7,251.64 = 2,530.40/x
  3. Step 3: Cross multiply
    4,834.40x = 7,251.64 × 2,530.40
  4. Step 4: Simplify right side
    4,834.40x = 18,349,549.86
  5. Step 5: Solve for x
    x = 18,349,549.86/4,834.40
  6. Step 6: Final answer
    x = 3,795.62

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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.