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Finding the Fourth Proportional to 3,588.60, 5,383.52 and 1,122.84

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Solution

The fourth proportional to 3,588.60, 5,383.52 and 1,122.84 is: 1,684.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,588.60 : 5,383.52 = 1,122.84 : x
  2. Step 2: Convert to fraction form
    3,588.60/5,383.52 = 1,122.84/x
  3. Step 3: Cross multiply
    3,588.60x = 5,383.52 × 1,122.84
  4. Step 4: Simplify right side
    3,588.60x = 6,044,831.60
  5. Step 5: Solve for x
    x = 6,044,831.60/3,588.60
  6. Step 6: Final answer
    x = 1,684.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.