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Finding the Fourth Proportional to 3,621.84, 5,432 and 1,024.08

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Solution

The fourth proportional to 3,621.84, 5,432 and 1,024.08 is: 1,535.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,621.84 : 5,432 = 1,024.08 : x
  2. Step 2: Convert to fraction form
    3,621.84/5,432 = 1,024.08/x
  3. Step 3: Cross multiply
    3,621.84x = 5,432 × 1,024.08
  4. Step 4: Simplify right side
    3,621.84x = 5,562,802.56
  5. Step 5: Solve for x
    x = 5,562,802.56/3,621.84
  6. Step 6: Final answer
    x = 1,535.91

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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.