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Finding the Fourth Proportional to 5,971.10, 8,950.23 and 3,780.45

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Solution

The fourth proportional to 5,971.10, 8,950.23 and 3,780.45 is: 5,666.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.10 : 8,950.23 = 3,780.45 : x
  2. Step 2: Convert to fraction form
    5,971.10/8,950.23 = 3,780.45/x
  3. Step 3: Cross multiply
    5,971.10x = 8,950.23 × 3,780.45
  4. Step 4: Simplify right side
    5,971.10x = 33,835,897.00
  5. Step 5: Solve for x
    x = 33,835,897.00/5,971.10
  6. Step 6: Final answer
    x = 5,666.62

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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.