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Finding the Fourth Proportional to 5,848.24, 8,070.47 and 3,195.58

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Solution

The fourth proportional to 5,848.24, 8,070.47 and 3,195.58 is: 4,409.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,848.24 : 8,070.47 = 3,195.58 : x
  2. Step 2: Convert to fraction form
    5,848.24/8,070.47 = 3,195.58/x
  3. Step 3: Cross multiply
    5,848.24x = 8,070.47 × 3,195.58
  4. Step 4: Simplify right side
    5,848.24x = 25,789,832.52
  5. Step 5: Solve for x
    x = 25,789,832.52/5,848.24
  6. Step 6: Final answer
    x = 4,409.85

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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.