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Finding the Fourth Proportional to 5,103.04, 7,596.56 and 4,864.48

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Solution

The fourth proportional to 5,103.04, 7,596.56 and 4,864.48 is: 7,241.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,103.04 : 7,596.56 = 4,864.48 : x
  2. Step 2: Convert to fraction form
    5,103.04/7,596.56 = 4,864.48/x
  3. Step 3: Cross multiply
    5,103.04x = 7,596.56 × 4,864.48
  4. Step 4: Simplify right side
    5,103.04x = 36,953,314.19
  5. Step 5: Solve for x
    x = 36,953,314.19/5,103.04
  6. Step 6: Final answer
    x = 7,241.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.