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Finding the Fourth Proportional to 5,693.16, 7,856.58 and 3,334.68

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Solution

The fourth proportional to 5,693.16, 7,856.58 and 3,334.68 is: 4,601.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693.16 : 7,856.58 = 3,334.68 : x
  2. Step 2: Convert to fraction form
    5,693.16/7,856.58 = 3,334.68/x
  3. Step 3: Cross multiply
    5,693.16x = 7,856.58 × 3,334.68
  4. Step 4: Simplify right side
    5,693.16x = 26,199,180.19
  5. Step 5: Solve for x
    x = 26,199,180.19/5,693.16
  6. Step 6: Final answer
    x = 4,601.87

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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.