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Finding the Fourth Proportional to 3,437.84, 5,156.70 and 1,097.99

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Solution

The fourth proportional to 3,437.84, 5,156.70 and 1,097.99 is: 1,646.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,437.84 : 5,156.70 = 1,097.99 : x
  2. Step 2: Convert to fraction form
    3,437.84/5,156.70 = 1,097.99/x
  3. Step 3: Cross multiply
    3,437.84x = 5,156.70 × 1,097.99
  4. Step 4: Simplify right side
    3,437.84x = 5,662,005.03
  5. Step 5: Solve for x
    x = 5,662,005.03/3,437.84
  6. Step 6: Final answer
    x = 1,646.97

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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.