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Finding the Fourth Proportional to 3,688.84, 5,524.14 and 2,749.53

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Solution

The fourth proportional to 3,688.84, 5,524.14 and 2,749.53 is: 4,117.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,688.84 : 5,524.14 = 2,749.53 : x
  2. Step 2: Convert to fraction form
    3,688.84/5,524.14 = 2,749.53/x
  3. Step 3: Cross multiply
    3,688.84x = 5,524.14 × 2,749.53
  4. Step 4: Simplify right side
    3,688.84x = 15,188,798.96
  5. Step 5: Solve for x
    x = 15,188,798.96/3,688.84
  6. Step 6: Final answer
    x = 4,117.50

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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.