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Finding the Fourth Proportional to 5,777.10, 7,970.25 and 3,788.76

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Solution

The fourth proportional to 5,777.10, 7,970.25 and 3,788.76 is: 5,227.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,777.10 : 7,970.25 = 3,788.76 : x
  2. Step 2: Convert to fraction form
    5,777.10/7,970.25 = 3,788.76/x
  3. Step 3: Cross multiply
    5,777.10x = 7,970.25 × 3,788.76
  4. Step 4: Simplify right side
    5,777.10x = 30,197,364.39
  5. Step 5: Solve for x
    x = 30,197,364.39/5,777.10
  6. Step 6: Final answer
    x = 5,227.08

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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.