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Finding the Fourth Proportional to 4,221.99, 6,332.51 and 1,143.75

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Solution

The fourth proportional to 4,221.99, 6,332.51 and 1,143.75 is: 1,715.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,221.99 : 6,332.51 = 1,143.75 : x
  2. Step 2: Convert to fraction form
    4,221.99/6,332.51 = 1,143.75/x
  3. Step 3: Cross multiply
    4,221.99x = 6,332.51 × 1,143.75
  4. Step 4: Simplify right side
    4,221.99x = 7,242,802.59
  5. Step 5: Solve for x
    x = 7,242,802.59/4,221.99
  6. Step 6: Final answer
    x = 1,715.49

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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.