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Finding the Fourth Proportional to 5,277.65, 7,911.50 and 1,812.47

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Solution

The fourth proportional to 5,277.65, 7,911.50 and 1,812.47 is: 2,716.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,277.65 : 7,911.50 = 1,812.47 : x
  2. Step 2: Convert to fraction form
    5,277.65/7,911.50 = 1,812.47/x
  3. Step 3: Cross multiply
    5,277.65x = 7,911.50 × 1,812.47
  4. Step 4: Simplify right side
    5,277.65x = 14,339,307.79
  5. Step 5: Solve for x
    x = 14,339,307.79/5,277.65
  6. Step 6: Final answer
    x = 2,716.99

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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.