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Finding the Fourth Proportional to 4,842.60, 7,262.05 and 2,070.56

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Solution

The fourth proportional to 4,842.60, 7,262.05 and 2,070.56 is: 3,105.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,842.60 : 7,262.05 = 2,070.56 : x
  2. Step 2: Convert to fraction form
    4,842.60/7,262.05 = 2,070.56/x
  3. Step 3: Cross multiply
    4,842.60x = 7,262.05 × 2,070.56
  4. Step 4: Simplify right side
    4,842.60x = 15,036,510.25
  5. Step 5: Solve for x
    x = 15,036,510.25/4,842.60
  6. Step 6: Final answer
    x = 3,105.05

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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.