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Finding the Fourth Proportional to 4,740.52, 7,110.78 and 1,820.20

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Solution

The fourth proportional to 4,740.52, 7,110.78 and 1,820.20 is: 2,730.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,740.52 : 7,110.78 = 1,820.20 : x
  2. Step 2: Convert to fraction form
    4,740.52/7,110.78 = 1,820.20/x
  3. Step 3: Cross multiply
    4,740.52x = 7,110.78 × 1,820.20
  4. Step 4: Simplify right side
    4,740.52x = 12,943,041.76
  5. Step 5: Solve for x
    x = 12,943,041.76/4,740.52
  6. Step 6: Final answer
    x = 2,730.30

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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.