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Finding the Fourth Proportional to 4,357.16, 6,019.64 and 4,324.36

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Solution

The fourth proportional to 4,357.16, 6,019.64 and 4,324.36 is: 5,974.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,357.16 : 6,019.64 = 4,324.36 : x
  2. Step 2: Convert to fraction form
    4,357.16/6,019.64 = 4,324.36/x
  3. Step 3: Cross multiply
    4,357.16x = 6,019.64 × 4,324.36
  4. Step 4: Simplify right side
    4,357.16x = 26,031,090.43
  5. Step 5: Solve for x
    x = 26,031,090.43/4,357.16
  6. Step 6: Final answer
    x = 5,974.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.