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Finding the Fourth Proportional to 5,738.40, 7,916.64 and 3,499.92

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Solution

The fourth proportional to 5,738.40, 7,916.64 and 3,499.92 is: 4,828.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738.40 : 7,916.64 = 3,499.92 : x
  2. Step 2: Convert to fraction form
    5,738.40/7,916.64 = 3,499.92/x
  3. Step 3: Cross multiply
    5,738.40x = 7,916.64 × 3,499.92
  4. Step 4: Simplify right side
    5,738.40x = 27,707,606.67
  5. Step 5: Solve for x
    x = 27,707,606.67/5,738.40
  6. Step 6: Final answer
    x = 4,828.46

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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.