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Finding the Fourth Proportional to 4,783.66, 7,175.50 and 1,321.18

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Solution

The fourth proportional to 4,783.66, 7,175.50 and 1,321.18 is: 1,981.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,783.66 : 7,175.50 = 1,321.18 : x
  2. Step 2: Convert to fraction form
    4,783.66/7,175.50 = 1,321.18/x
  3. Step 3: Cross multiply
    4,783.66x = 7,175.50 × 1,321.18
  4. Step 4: Simplify right side
    4,783.66x = 9,480,127.09
  5. Step 5: Solve for x
    x = 9,480,127.09/4,783.66
  6. Step 6: Final answer
    x = 1,981.77

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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.