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Finding the Fourth Proportional to 4,337, 6,505.68 and 1,259

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Solution

The fourth proportional to 4,337, 6,505.68 and 1,259 is: 1,888.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,337 : 6,505.68 = 1,259 : x
  2. Step 2: Convert to fraction form
    4,337/6,505.68 = 1,259/x
  3. Step 3: Cross multiply
    4,337x = 6,505.68 × 1,259
  4. Step 4: Simplify right side
    4,337x = 8,190,651.12
  5. Step 5: Solve for x
    x = 8,190,651.12/4,337
  6. Step 6: Final answer
    x = 1,888.55

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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.