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Finding the Fourth Proportional to 5,776.50, 7,971.58 and 3,123.91

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Solution

The fourth proportional to 5,776.50, 7,971.58 and 3,123.91 is: 4,311.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,776.50 : 7,971.58 = 3,123.91 : x
  2. Step 2: Convert to fraction form
    5,776.50/7,971.58 = 3,123.91/x
  3. Step 3: Cross multiply
    5,776.50x = 7,971.58 × 3,123.91
  4. Step 4: Simplify right side
    5,776.50x = 24,902,498.48
  5. Step 5: Solve for x
    x = 24,902,498.48/5,776.50
  6. Step 6: Final answer
    x = 4,311.00

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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.