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Finding the Fourth Proportional to 5,903.36, 8,144 and 3,417.92

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Solution

The fourth proportional to 5,903.36, 8,144 and 3,417.92 is: 4,715.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,903.36 : 8,144 = 3,417.92 : x
  2. Step 2: Convert to fraction form
    5,903.36/8,144 = 3,417.92/x
  3. Step 3: Cross multiply
    5,903.36x = 8,144 × 3,417.92
  4. Step 4: Simplify right side
    5,903.36x = 27,835,540.48
  5. Step 5: Solve for x
    x = 27,835,540.48/5,903.36
  6. Step 6: Final answer
    x = 4,715.20

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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.