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Finding the Fourth Proportional to 5,765.04, 8,651.06 and 2,302

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Solution

The fourth proportional to 5,765.04, 8,651.06 and 2,302 is: 3,454.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.04 : 8,651.06 = 2,302 : x
  2. Step 2: Convert to fraction form
    5,765.04/8,651.06 = 2,302/x
  3. Step 3: Cross multiply
    5,765.04x = 8,651.06 × 2,302
  4. Step 4: Simplify right side
    5,765.04x = 19,914,740.12
  5. Step 5: Solve for x
    x = 19,914,740.12/5,765.04
  6. Step 6: Final answer
    x = 3,454.40

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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.