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Finding the Fourth Proportional to 4,898.17, 7,350.17 and 1,778.42

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Solution

The fourth proportional to 4,898.17, 7,350.17 and 1,778.42 is: 2,668.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,898.17 : 7,350.17 = 1,778.42 : x
  2. Step 2: Convert to fraction form
    4,898.17/7,350.17 = 1,778.42/x
  3. Step 3: Cross multiply
    4,898.17x = 7,350.17 × 1,778.42
  4. Step 4: Simplify right side
    4,898.17x = 13,071,643.69
  5. Step 5: Solve for x
    x = 13,071,643.69/4,898.17
  6. Step 6: Final answer
    x = 2,668.68

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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.