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Finding the Fourth Proportional to 3,573.82, 5,360.82 and 976.78

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Solution

The fourth proportional to 3,573.82, 5,360.82 and 976.78 is: 1,465.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,573.82 : 5,360.82 = 976.78 : x
  2. Step 2: Convert to fraction form
    3,573.82/5,360.82 = 976.78/x
  3. Step 3: Cross multiply
    3,573.82x = 5,360.82 × 976.78
  4. Step 4: Simplify right side
    3,573.82x = 5,236,341.76
  5. Step 5: Solve for x
    x = 5,236,341.76/3,573.82
  6. Step 6: Final answer
    x = 1,465.19

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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.