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Finding the Fourth Proportional to 3,735.68, 5,599.71 and 2,349.99

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Solution

The fourth proportional to 3,735.68, 5,599.71 and 2,349.99 is: 3,522.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735.68 : 5,599.71 = 2,349.99 : x
  2. Step 2: Convert to fraction form
    3,735.68/5,599.71 = 2,349.99/x
  3. Step 3: Cross multiply
    3,735.68x = 5,599.71 × 2,349.99
  4. Step 4: Simplify right side
    3,735.68x = 13,159,262.50
  5. Step 5: Solve for x
    x = 13,159,262.50/3,735.68
  6. Step 6: Final answer
    x = 3,522.59

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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.