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Finding the Fourth Proportional to 5,890.49, 8,848.02 and 4,967.87

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Solution

The fourth proportional to 5,890.49, 8,848.02 and 4,967.87 is: 7,462.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,890.49 : 8,848.02 = 4,967.87 : x
  2. Step 2: Convert to fraction form
    5,890.49/8,848.02 = 4,967.87/x
  3. Step 3: Cross multiply
    5,890.49x = 8,848.02 × 4,967.87
  4. Step 4: Simplify right side
    5,890.49x = 43,955,768.88
  5. Step 5: Solve for x
    x = 43,955,768.88/5,890.49
  6. Step 6: Final answer
    x = 7,462.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.