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Finding the Fourth Proportional to 5,675.95, 7,832.91 and 3,319.45

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Solution

The fourth proportional to 5,675.95, 7,832.91 and 3,319.45 is: 4,580.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,675.95 : 7,832.91 = 3,319.45 : x
  2. Step 2: Convert to fraction form
    5,675.95/7,832.91 = 3,319.45/x
  3. Step 3: Cross multiply
    5,675.95x = 7,832.91 × 3,319.45
  4. Step 4: Simplify right side
    5,675.95x = 26,000,953.10
  5. Step 5: Solve for x
    x = 26,000,953.10/5,675.95
  6. Step 6: Final answer
    x = 4,580.90

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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.