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Finding the Fourth Proportional to 5,795.60, 7,983.34 and 5,370.34

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Solution

The fourth proportional to 5,795.60, 7,983.34 and 5,370.34 is: 7,397.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,795.60 : 7,983.34 = 5,370.34 : x
  2. Step 2: Convert to fraction form
    5,795.60/7,983.34 = 5,370.34/x
  3. Step 3: Cross multiply
    5,795.60x = 7,983.34 × 5,370.34
  4. Step 4: Simplify right side
    5,795.60x = 42,873,250.14
  5. Step 5: Solve for x
    x = 42,873,250.14/5,795.60
  6. Step 6: Final answer
    x = 7,397.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.