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Finding the Fourth Proportional to 3,330.24, 4,995.54 and 865.07

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Solution

The fourth proportional to 3,330.24, 4,995.54 and 865.07 is: 1,297.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,330.24 : 4,995.54 = 865.07 : x
  2. Step 2: Convert to fraction form
    3,330.24/4,995.54 = 865.07/x
  3. Step 3: Cross multiply
    3,330.24x = 4,995.54 × 865.07
  4. Step 4: Simplify right side
    3,330.24x = 4,321,466.81
  5. Step 5: Solve for x
    x = 4,321,466.81/3,330.24
  6. Step 6: Final answer
    x = 1,297.64

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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.