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Finding the Fourth Proportional to 4,350, 6,526.20 and 1,272

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Solution

The fourth proportional to 4,350, 6,526.20 and 1,272 is: 1,908.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,350 : 6,526.20 = 1,272 : x
  2. Step 2: Convert to fraction form
    4,350/6,526.20 = 1,272/x
  3. Step 3: Cross multiply
    4,350x = 6,526.20 × 1,272
  4. Step 4: Simplify right side
    4,350x = 8,301,326.40
  5. Step 5: Solve for x
    x = 8,301,326.40/4,350
  6. Step 6: Final answer
    x = 1,908.35

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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.