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Finding the Fourth Proportional to 5,103, 7,040.33 and 3,335.63

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Solution

The fourth proportional to 5,103, 7,040.33 and 3,335.63 is: 4,601.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,103 : 7,040.33 = 3,335.63 : x
  2. Step 2: Convert to fraction form
    5,103/7,040.33 = 3,335.63/x
  3. Step 3: Cross multiply
    5,103x = 7,040.33 × 3,335.63
  4. Step 4: Simplify right side
    5,103x = 23,483,935.96
  5. Step 5: Solve for x
    x = 23,483,935.96/5,103
  6. Step 6: Final answer
    x = 4,601.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.