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Finding the Fourth Proportional to 5,715.03, 8,573.50 and 1,966.66

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Solution

The fourth proportional to 5,715.03, 8,573.50 and 1,966.66 is: 2,950.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,715.03 : 8,573.50 = 1,966.66 : x
  2. Step 2: Convert to fraction form
    5,715.03/8,573.50 = 1,966.66/x
  3. Step 3: Cross multiply
    5,715.03x = 8,573.50 × 1,966.66
  4. Step 4: Simplify right side
    5,715.03x = 16,861,159.51
  5. Step 5: Solve for x
    x = 16,861,159.51/5,715.03
  6. Step 6: Final answer
    x = 2,950.32

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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.