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Finding the Fourth Proportional to 4,767.84, 7,152 and 1,305.12

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Solution

The fourth proportional to 4,767.84, 7,152 and 1,305.12 is: 1,957.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,767.84 : 7,152 = 1,305.12 : x
  2. Step 2: Convert to fraction form
    4,767.84/7,152 = 1,305.12/x
  3. Step 3: Cross multiply
    4,767.84x = 7,152 × 1,305.12
  4. Step 4: Simplify right side
    4,767.84x = 9,334,218.24
  5. Step 5: Solve for x
    x = 9,334,218.24/4,767.84
  6. Step 6: Final answer
    x = 1,957.75

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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.