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Finding the Fourth Proportional to 5,398.40, 8,096.64 and 1,501.84

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Solution

The fourth proportional to 5,398.40, 8,096.64 and 1,501.84 is: 2,252.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,398.40 : 8,096.64 = 1,501.84 : x
  2. Step 2: Convert to fraction form
    5,398.40/8,096.64 = 1,501.84/x
  3. Step 3: Cross multiply
    5,398.40x = 8,096.64 × 1,501.84
  4. Step 4: Simplify right side
    5,398.40x = 12,159,857.82
  5. Step 5: Solve for x
    x = 12,159,857.82/5,398.40
  6. Step 6: Final answer
    x = 2,252.49

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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.