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Finding the Fourth Proportional to 4,870, 7,301.35 and 1,581.13

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Solution

The fourth proportional to 4,870, 7,301.35 and 1,581.13 is: 2,370.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,870 : 7,301.35 = 1,581.13 : x
  2. Step 2: Convert to fraction form
    4,870/7,301.35 = 1,581.13/x
  3. Step 3: Cross multiply
    4,870x = 7,301.35 × 1,581.13
  4. Step 4: Simplify right side
    4,870x = 11,544,383.53
  5. Step 5: Solve for x
    x = 11,544,383.53/4,870
  6. Step 6: Final answer
    x = 2,370.51

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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.