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Finding the Fourth Proportional to 4,502.61, 6,750.27 and 1,727.87

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Solution

The fourth proportional to 4,502.61, 6,750.27 and 1,727.87 is: 2,590.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,502.61 : 6,750.27 = 1,727.87 : x
  2. Step 2: Convert to fraction form
    4,502.61/6,750.27 = 1,727.87/x
  3. Step 3: Cross multiply
    4,502.61x = 6,750.27 × 1,727.87
  4. Step 4: Simplify right side
    4,502.61x = 11,663,555.27
  5. Step 5: Solve for x
    x = 11,663,555.27/4,502.61
  6. Step 6: Final answer
    x = 2,590.40

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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.