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Finding the Fourth Proportional to 4,745.70, 7,117.71 and 1,282.14

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Solution

The fourth proportional to 4,745.70, 7,117.71 and 1,282.14 is: 1,922.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,745.70 : 7,117.71 = 1,282.14 : x
  2. Step 2: Convert to fraction form
    4,745.70/7,117.71 = 1,282.14/x
  3. Step 3: Cross multiply
    4,745.70x = 7,117.71 × 1,282.14
  4. Step 4: Simplify right side
    4,745.70x = 9,125,900.70
  5. Step 5: Solve for x
    x = 9,125,900.70/4,745.70
  6. Step 6: Final answer
    x = 1,922.98

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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.