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Finding the Fourth Proportional to 4,927.64, 7,392.26 and 2,329.16

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Solution

The fourth proportional to 4,927.64, 7,392.26 and 2,329.16 is: 3,494.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,927.64 : 7,392.26 = 2,329.16 : x
  2. Step 2: Convert to fraction form
    4,927.64/7,392.26 = 2,329.16/x
  3. Step 3: Cross multiply
    4,927.64x = 7,392.26 × 2,329.16
  4. Step 4: Simplify right side
    4,927.64x = 17,217,725.16
  5. Step 5: Solve for x
    x = 17,217,725.16/4,927.64
  6. Step 6: Final answer
    x = 3,494.12

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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.