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Finding the Fourth Proportional to 3,534.84, 5,303.11 and 2,496.86

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Solution

The fourth proportional to 3,534.84, 5,303.11 and 2,496.86 is: 3,745.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.84 : 5,303.11 = 2,496.86 : x
  2. Step 2: Convert to fraction form
    3,534.84/5,303.11 = 2,496.86/x
  3. Step 3: Cross multiply
    3,534.84x = 5,303.11 × 2,496.86
  4. Step 4: Simplify right side
    3,534.84x = 13,241,123.23
  5. Step 5: Solve for x
    x = 13,241,123.23/3,534.84
  6. Step 6: Final answer
    x = 3,745.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.