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Finding the Fourth Proportional to 5,890.32, 8,847.80 and 4,967.72

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Solution

The fourth proportional to 5,890.32, 8,847.80 and 4,967.72 is: 7,461.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,890.32 : 8,847.80 = 4,967.72 : x
  2. Step 2: Convert to fraction form
    5,890.32/8,847.80 = 4,967.72/x
  3. Step 3: Cross multiply
    5,890.32x = 8,847.80 × 4,967.72
  4. Step 4: Simplify right side
    5,890.32x = 43,953,393.02
  5. Step 5: Solve for x
    x = 43,953,393.02/5,890.32
  6. Step 6: Final answer
    x = 7,461.97

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Why These Related Problems?

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