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Finding the Fourth Proportional to 3,364.02, 5,046.32 and 1,024.24

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Solution

The fourth proportional to 3,364.02, 5,046.32 and 1,024.24 is: 1,536.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364.02 : 5,046.32 = 1,024.24 : x
  2. Step 2: Convert to fraction form
    3,364.02/5,046.32 = 1,024.24/x
  3. Step 3: Cross multiply
    3,364.02x = 5,046.32 × 1,024.24
  4. Step 4: Simplify right side
    3,364.02x = 5,168,642.80
  5. Step 5: Solve for x
    x = 5,168,642.80/3,364.02
  6. Step 6: Final answer
    x = 1,536.45

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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.