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Finding the Fourth Proportional to 5,687.18, 7,848.32 and 3,448.47

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Solution

The fourth proportional to 5,687.18, 7,848.32 and 3,448.47 is: 4,758.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,687.18 : 7,848.32 = 3,448.47 : x
  2. Step 2: Convert to fraction form
    5,687.18/7,848.32 = 3,448.47/x
  3. Step 3: Cross multiply
    5,687.18x = 7,848.32 × 3,448.47
  4. Step 4: Simplify right side
    5,687.18x = 27,064,678.83
  5. Step 5: Solve for x
    x = 27,064,678.83/5,687.18
  6. Step 6: Final answer
    x = 4,758.90

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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.