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Finding the Fourth Proportional to 4,117.76, 6,176.64 and 1,381.76

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Solution

The fourth proportional to 4,117.76, 6,176.64 and 1,381.76 is: 2,072.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,117.76 : 6,176.64 = 1,381.76 : x
  2. Step 2: Convert to fraction form
    4,117.76/6,176.64 = 1,381.76/x
  3. Step 3: Cross multiply
    4,117.76x = 6,176.64 × 1,381.76
  4. Step 4: Simplify right side
    4,117.76x = 8,534,634.09
  5. Step 5: Solve for x
    x = 8,534,634.09/4,117.76
  6. Step 6: Final answer
    x = 2,072.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.