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Finding the Fourth Proportional to 5,030.76, 7,546.54 and 1,568

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Solution

The fourth proportional to 5,030.76, 7,546.54 and 1,568 is: 2,352.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,030.76 : 7,546.54 = 1,568 : x
  2. Step 2: Convert to fraction form
    5,030.76/7,546.54 = 1,568/x
  3. Step 3: Cross multiply
    5,030.76x = 7,546.54 × 1,568
  4. Step 4: Simplify right side
    5,030.76x = 11,832,974.72
  5. Step 5: Solve for x
    x = 11,832,974.72/5,030.76
  6. Step 6: Final answer
    x = 2,352.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.