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Finding the Fourth Proportional to 4,788.27, 7,140.18 and 4,205.70

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Solution

The fourth proportional to 4,788.27, 7,140.18 and 4,205.70 is: 6,271.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,788.27 : 7,140.18 = 4,205.70 : x
  2. Step 2: Convert to fraction form
    4,788.27/7,140.18 = 4,205.70/x
  3. Step 3: Cross multiply
    4,788.27x = 7,140.18 × 4,205.70
  4. Step 4: Simplify right side
    4,788.27x = 30,029,455.03
  5. Step 5: Solve for x
    x = 30,029,455.03/4,788.27
  6. Step 6: Final answer
    x = 6,271.46

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.