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Finding the Fourth Proportional to 4,763.22, 7,146.66 and 1,477.46

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Solution

The fourth proportional to 4,763.22, 7,146.66 and 1,477.46 is: 2,216.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,763.22 : 7,146.66 = 1,477.46 : x
  2. Step 2: Convert to fraction form
    4,763.22/7,146.66 = 1,477.46/x
  3. Step 3: Cross multiply
    4,763.22x = 7,146.66 × 1,477.46
  4. Step 4: Simplify right side
    4,763.22x = 10,558,904.28
  5. Step 5: Solve for x
    x = 10,558,904.28/4,763.22
  6. Step 6: Final answer
    x = 2,216.76

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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.