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Finding the Fourth Proportional to 5,408.65, 7,465.29 and 3,052.16

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Solution

The fourth proportional to 5,408.65, 7,465.29 and 3,052.16 is: 4,212.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,408.65 : 7,465.29 = 3,052.16 : x
  2. Step 2: Convert to fraction form
    5,408.65/7,465.29 = 3,052.16/x
  3. Step 3: Cross multiply
    5,408.65x = 7,465.29 × 3,052.16
  4. Step 4: Simplify right side
    5,408.65x = 22,785,206.94
  5. Step 5: Solve for x
    x = 22,785,206.94/5,408.65
  6. Step 6: Final answer
    x = 4,212.74

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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.