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Finding the Fourth Proportional to 5,410.16, 7,466.02 and 3,052.28

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Solution

The fourth proportional to 5,410.16, 7,466.02 and 3,052.28 is: 4,212.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,410.16 : 7,466.02 = 3,052.28 : x
  2. Step 2: Convert to fraction form
    5,410.16/7,466.02 = 3,052.28/x
  3. Step 3: Cross multiply
    5,410.16x = 7,466.02 × 3,052.28
  4. Step 4: Simplify right side
    5,410.16x = 22,788,383.53
  5. Step 5: Solve for x
    x = 22,788,383.53/5,410.16
  6. Step 6: Final answer
    x = 4,212.15

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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.