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Finding the Fourth Proportional to 4,384.40, 6,569.40 and 3,736.40

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Solution

The fourth proportional to 4,384.40, 6,569.40 and 3,736.40 is: 5,598.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,384.40 : 6,569.40 = 3,736.40 : x
  2. Step 2: Convert to fraction form
    4,384.40/6,569.40 = 3,736.40/x
  3. Step 3: Cross multiply
    4,384.40x = 6,569.40 × 3,736.40
  4. Step 4: Simplify right side
    4,384.40x = 24,545,906.16
  5. Step 5: Solve for x
    x = 24,545,906.16/4,384.40
  6. Step 6: Final answer
    x = 5,598.46

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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.