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Finding the Fourth Proportional to 4,221.84, 6,332.67 and 1,300.08

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Solution

The fourth proportional to 4,221.84, 6,332.67 and 1,300.08 is: 1,950.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,221.84 : 6,332.67 = 1,300.08 : x
  2. Step 2: Convert to fraction form
    4,221.84/6,332.67 = 1,300.08/x
  3. Step 3: Cross multiply
    4,221.84x = 6,332.67 × 1,300.08
  4. Step 4: Simplify right side
    4,221.84x = 8,232,977.61
  5. Step 5: Solve for x
    x = 8,232,977.61/4,221.84
  6. Step 6: Final answer
    x = 1,950.09

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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.