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Finding the Fourth Proportional to 4,705.60, 7,061.10 and 3,245.80

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Solution

The fourth proportional to 4,705.60, 7,061.10 and 3,245.80 is: 4,870.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,705.60 : 7,061.10 = 3,245.80 : x
  2. Step 2: Convert to fraction form
    4,705.60/7,061.10 = 3,245.80/x
  3. Step 3: Cross multiply
    4,705.60x = 7,061.10 × 3,245.80
  4. Step 4: Simplify right side
    4,705.60x = 22,918,918.38
  5. Step 5: Solve for x
    x = 22,918,918.38/4,705.60
  6. Step 6: Final answer
    x = 4,870.56

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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.