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Finding the Fourth Proportional to 3,689.51, 5,493.12 and 3,637.81

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Solution

The fourth proportional to 3,689.51, 5,493.12 and 3,637.81 is: 5,416.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,689.51 : 5,493.12 = 3,637.81 : x
  2. Step 2: Convert to fraction form
    3,689.51/5,493.12 = 3,637.81/x
  3. Step 3: Cross multiply
    3,689.51x = 5,493.12 × 3,637.81
  4. Step 4: Simplify right side
    3,689.51x = 19,982,899.40
  5. Step 5: Solve for x
    x = 19,982,899.40/3,689.51
  6. Step 6: Final answer
    x = 5,416.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.