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Finding the Fourth Proportional to 3,688.34, 5,501.37 and 3,096.43

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Solution

The fourth proportional to 3,688.34, 5,501.37 and 3,096.43 is: 4,618.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,688.34 : 5,501.37 = 3,096.43 : x
  2. Step 2: Convert to fraction form
    3,688.34/5,501.37 = 3,096.43/x
  3. Step 3: Cross multiply
    3,688.34x = 5,501.37 × 3,096.43
  4. Step 4: Simplify right side
    3,688.34x = 17,034,587.55
  5. Step 5: Solve for x
    x = 17,034,587.55/3,688.34
  6. Step 6: Final answer
    x = 4,618.50

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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.