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Finding the Fourth Proportional to 4,651.52, 6,975.64 and 1,364.56

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Solution

The fourth proportional to 4,651.52, 6,975.64 and 1,364.56 is: 2,046.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651.52 : 6,975.64 = 1,364.56 : x
  2. Step 2: Convert to fraction form
    4,651.52/6,975.64 = 1,364.56/x
  3. Step 3: Cross multiply
    4,651.52x = 6,975.64 × 1,364.56
  4. Step 4: Simplify right side
    4,651.52x = 9,518,679.32
  5. Step 5: Solve for x
    x = 9,518,679.32/4,651.52
  6. Step 6: Final answer
    x = 2,046.36

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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.