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Finding the Fourth Proportional to 4,820.72, 7,230.52 and 2,047.80

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Solution

The fourth proportional to 4,820.72, 7,230.52 and 2,047.80 is: 3,071.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,820.72 : 7,230.52 = 2,047.80 : x
  2. Step 2: Convert to fraction form
    4,820.72/7,230.52 = 2,047.80/x
  3. Step 3: Cross multiply
    4,820.72x = 7,230.52 × 2,047.80
  4. Step 4: Simplify right side
    4,820.72x = 14,806,658.86
  5. Step 5: Solve for x
    x = 14,806,658.86/4,820.72
  6. Step 6: Final answer
    x = 3,071.46

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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.