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Finding the Fourth Proportional to 3,486.51, 5,230.58 and 1,021.28

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Solution

The fourth proportional to 3,486.51, 5,230.58 and 1,021.28 is: 1,532.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.51 : 5,230.58 = 1,021.28 : x
  2. Step 2: Convert to fraction form
    3,486.51/5,230.58 = 1,021.28/x
  3. Step 3: Cross multiply
    3,486.51x = 5,230.58 × 1,021.28
  4. Step 4: Simplify right side
    3,486.51x = 5,341,855.48
  5. Step 5: Solve for x
    x = 5,341,855.48/3,486.51
  6. Step 6: Final answer
    x = 1,532.15

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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.