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Finding the Fourth Proportional to 5,776.67, 8,666.07 and 1,828.92

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Solution

The fourth proportional to 5,776.67, 8,666.07 and 1,828.92 is: 2,743.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,776.67 : 8,666.07 = 1,828.92 : x
  2. Step 2: Convert to fraction form
    5,776.67/8,666.07 = 1,828.92/x
  3. Step 3: Cross multiply
    5,776.67x = 8,666.07 × 1,828.92
  4. Step 4: Simplify right side
    5,776.67x = 15,849,548.74
  5. Step 5: Solve for x
    x = 15,849,548.74/5,776.67
  6. Step 6: Final answer
    x = 2,743.72

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1.5x scale

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.