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Finding the Fourth Proportional to 3,600, 4,957.47 and 3,448.26

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Solution

The fourth proportional to 3,600, 4,957.47 and 3,448.26 is: 4,748.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,600 : 4,957.47 = 3,448.26 : x
  2. Step 2: Convert to fraction form
    3,600/4,957.47 = 3,448.26/x
  3. Step 3: Cross multiply
    3,600x = 4,957.47 × 3,448.26
  4. Step 4: Simplify right side
    3,600x = 17,094,645.50
  5. Step 5: Solve for x
    x = 17,094,645.50/3,600
  6. Step 6: Final answer
    x = 4,748.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.