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Finding the Fourth Proportional to 4,745.00, 7,117.70 and 1,458.23

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Solution

The fourth proportional to 4,745.00, 7,117.70 and 1,458.23 is: 2,187.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,745.00 : 7,117.70 = 1,458.23 : x
  2. Step 2: Convert to fraction form
    4,745.00/7,117.70 = 1,458.23/x
  3. Step 3: Cross multiply
    4,745.00x = 7,117.70 × 1,458.23
  4. Step 4: Simplify right side
    4,745.00x = 10,379,211.73
  5. Step 5: Solve for x
    x = 10,379,211.73/4,745.00
  6. Step 6: Final answer
    x = 2,187.40

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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.