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Finding the Fourth Proportional to 3,773.16, 5,659.74 and 1,176

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Solution

The fourth proportional to 3,773.16, 5,659.74 and 1,176 is: 1,764.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.16 : 5,659.74 = 1,176 : x
  2. Step 2: Convert to fraction form
    3,773.16/5,659.74 = 1,176/x
  3. Step 3: Cross multiply
    3,773.16x = 5,659.74 × 1,176
  4. Step 4: Simplify right side
    3,773.16x = 6,655,854.24
  5. Step 5: Solve for x
    x = 6,655,854.24/3,773.16
  6. Step 6: Final answer
    x = 1,764.00

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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.