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Finding the Fourth Proportional to 3,709.84, 5,564.94 and 1,244.41

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Solution

The fourth proportional to 3,709.84, 5,564.94 and 1,244.41 is: 1,866.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.84 : 5,564.94 = 1,244.41 : x
  2. Step 2: Convert to fraction form
    3,709.84/5,564.94 = 1,244.41/x
  3. Step 3: Cross multiply
    3,709.84x = 5,564.94 × 1,244.41
  4. Step 4: Simplify right side
    3,709.84x = 6,925,066.99
  5. Step 5: Solve for x
    x = 6,925,066.99/3,709.84
  6. Step 6: Final answer
    x = 1,866.68

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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.