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Finding the Fourth Proportional to 3,588.71, 5,383.81 and 1,507.49

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Solution

The fourth proportional to 3,588.71, 5,383.81 and 1,507.49 is: 2,261.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,588.71 : 5,383.81 = 1,507.49 : x
  2. Step 2: Convert to fraction form
    3,588.71/5,383.81 = 1,507.49/x
  3. Step 3: Cross multiply
    3,588.71x = 5,383.81 × 1,507.49
  4. Step 4: Simplify right side
    3,588.71x = 8,116,039.74
  5. Step 5: Solve for x
    x = 8,116,039.74/3,588.71
  6. Step 6: Final answer
    x = 2,261.55

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1.5x scale

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.