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Finding the Fourth Proportional to 5,117.34, 7,693.12 and 4,199.70

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Solution

The fourth proportional to 5,117.34, 7,693.12 and 4,199.70 is: 6,313.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,117.34 : 7,693.12 = 4,199.70 : x
  2. Step 2: Convert to fraction form
    5,117.34/7,693.12 = 4,199.70/x
  3. Step 3: Cross multiply
    5,117.34x = 7,693.12 × 4,199.70
  4. Step 4: Simplify right side
    5,117.34x = 32,308,796.06
  5. Step 5: Solve for x
    x = 32,308,796.06/5,117.34
  6. Step 6: Final answer
    x = 6,313.59

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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.