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Finding the Fourth Proportional to 4,356.70, 6,535.78 and 1,583.52

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Solution

The fourth proportional to 4,356.70, 6,535.78 and 1,583.52 is: 2,375.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,356.70 : 6,535.78 = 1,583.52 : x
  2. Step 2: Convert to fraction form
    4,356.70/6,535.78 = 1,583.52/x
  3. Step 3: Cross multiply
    4,356.70x = 6,535.78 × 1,583.52
  4. Step 4: Simplify right side
    4,356.70x = 10,349,538.35
  5. Step 5: Solve for x
    x = 10,349,538.35/4,356.70
  6. Step 6: Final answer
    x = 2,375.55

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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.