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Finding the Fourth Proportional to 3,133.32, 4,700.01 and 824.82

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Solution

The fourth proportional to 3,133.32, 4,700.01 and 824.82 is: 1,237.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,133.32 : 4,700.01 = 824.82 : x
  2. Step 2: Convert to fraction form
    3,133.32/4,700.01 = 824.82/x
  3. Step 3: Cross multiply
    3,133.32x = 4,700.01 × 824.82
  4. Step 4: Simplify right side
    3,133.32x = 3,876,662.25
  5. Step 5: Solve for x
    x = 3,876,662.25/3,133.32
  6. Step 6: Final answer
    x = 1,237.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.