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Finding the Fourth Proportional to 4,905.40, 7,358.10 and 4,808.20

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Solution

The fourth proportional to 4,905.40, 7,358.10 and 4,808.20 is: 7,212.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,905.40 : 7,358.10 = 4,808.20 : x
  2. Step 2: Convert to fraction form
    4,905.40/7,358.10 = 4,808.20/x
  3. Step 3: Cross multiply
    4,905.40x = 7,358.10 × 4,808.20
  4. Step 4: Simplify right side
    4,905.40x = 35,379,216.42
  5. Step 5: Solve for x
    x = 35,379,216.42/4,905.40
  6. Step 6: Final answer
    x = 7,212.30

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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.