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Finding the Fourth Proportional to 4,745.22, 7,116.64 and 1,412.70

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Solution

The fourth proportional to 4,745.22, 7,116.64 and 1,412.70 is: 2,118.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,745.22 : 7,116.64 = 1,412.70 : x
  2. Step 2: Convert to fraction form
    4,745.22/7,116.64 = 1,412.70/x
  3. Step 3: Cross multiply
    4,745.22x = 7,116.64 × 1,412.70
  4. Step 4: Simplify right side
    4,745.22x = 10,053,677.33
  5. Step 5: Solve for x
    x = 10,053,677.33/4,745.22
  6. Step 6: Final answer
    x = 2,118.70

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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.