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Finding the Fourth Proportional to 5,305.04, 7,324.24 and 3,419.86

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Solution

The fourth proportional to 5,305.04, 7,324.24 and 3,419.86 is: 4,721.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,305.04 : 7,324.24 = 3,419.86 : x
  2. Step 2: Convert to fraction form
    5,305.04/7,324.24 = 3,419.86/x
  3. Step 3: Cross multiply
    5,305.04x = 7,324.24 × 3,419.86
  4. Step 4: Simplify right side
    5,305.04x = 25,047,875.41
  5. Step 5: Solve for x
    x = 25,047,875.41/5,305.04
  6. Step 6: Final answer
    x = 4,721.52

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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.