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Finding the Fourth Proportional to 4,869.60, 7,299.93 and 1,581

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Solution

The fourth proportional to 4,869.60, 7,299.93 and 1,581 is: 2,370.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,869.60 : 7,299.93 = 1,581 : x
  2. Step 2: Convert to fraction form
    4,869.60/7,299.93 = 1,581/x
  3. Step 3: Cross multiply
    4,869.60x = 7,299.93 × 1,581
  4. Step 4: Simplify right side
    4,869.60x = 11,541,189.33
  5. Step 5: Solve for x
    x = 11,541,189.33/4,869.60
  6. Step 6: Final answer
    x = 2,370.05

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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.