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Finding the Fourth Proportional to 5,810.57, 8,715.77 and 1,428.06

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Solution

The fourth proportional to 5,810.57, 8,715.77 and 1,428.06 is: 2,142.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,810.57 : 8,715.77 = 1,428.06 : x
  2. Step 2: Convert to fraction form
    5,810.57/8,715.77 = 1,428.06/x
  3. Step 3: Cross multiply
    5,810.57x = 8,715.77 × 1,428.06
  4. Step 4: Simplify right side
    5,810.57x = 12,446,646.08
  5. Step 5: Solve for x
    x = 12,446,646.08/5,810.57
  6. Step 6: Final answer
    x = 2,142.07

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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.