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Finding the Fourth Proportional to 4,764.48, 7,146.36 and 1,477.62

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Solution

The fourth proportional to 4,764.48, 7,146.36 and 1,477.62 is: 2,216.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,764.48 : 7,146.36 = 1,477.62 : x
  2. Step 2: Convert to fraction form
    4,764.48/7,146.36 = 1,477.62/x
  3. Step 3: Cross multiply
    4,764.48x = 7,146.36 × 1,477.62
  4. Step 4: Simplify right side
    4,764.48x = 10,559,604.46
  5. Step 5: Solve for x
    x = 10,559,604.46/4,764.48
  6. Step 6: Final answer
    x = 2,216.32

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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.