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Finding the Fourth Proportional to 5,693.07, 7,856.17 and 3,175.45

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Solution

The fourth proportional to 5,693.07, 7,856.17 and 3,175.45 is: 4,381.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693.07 : 7,856.17 = 3,175.45 : x
  2. Step 2: Convert to fraction form
    5,693.07/7,856.17 = 3,175.45/x
  3. Step 3: Cross multiply
    5,693.07x = 7,856.17 × 3,175.45
  4. Step 4: Simplify right side
    5,693.07x = 24,946,875.03
  5. Step 5: Solve for x
    x = 24,946,875.03/5,693.07
  6. Step 6: Final answer
    x = 4,381.97

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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.