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Finding the Fourth Proportional to 4,700.70, 7,041.63 and 2,228.18

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Solution

The fourth proportional to 4,700.70, 7,041.63 and 2,228.18 is: 3,337.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,700.70 : 7,041.63 = 2,228.18 : x
  2. Step 2: Convert to fraction form
    4,700.70/7,041.63 = 2,228.18/x
  3. Step 3: Cross multiply
    4,700.70x = 7,041.63 × 2,228.18
  4. Step 4: Simplify right side
    4,700.70x = 15,689,992.28
  5. Step 5: Solve for x
    x = 15,689,992.28/4,700.70
  6. Step 6: Final answer
    x = 3,337.80

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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.