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Finding the Fourth Proportional to 5,635.14, 7,776.30 and 3,117.40

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Solution

The fourth proportional to 5,635.14, 7,776.30 and 3,117.40 is: 4,301.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,635.14 : 7,776.30 = 3,117.40 : x
  2. Step 2: Convert to fraction form
    5,635.14/7,776.30 = 3,117.40/x
  3. Step 3: Cross multiply
    5,635.14x = 7,776.30 × 3,117.40
  4. Step 4: Simplify right side
    5,635.14x = 24,241,837.62
  5. Step 5: Solve for x
    x = 24,241,837.62/5,635.14
  6. Step 6: Final answer
    x = 4,301.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.