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Finding the Fourth Proportional to 5,705.40, 8,557.17 and 1,810.74

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Solution

The fourth proportional to 5,705.40, 8,557.17 and 1,810.74 is: 2,715.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,705.40 : 8,557.17 = 1,810.74 : x
  2. Step 2: Convert to fraction form
    5,705.40/8,557.17 = 1,810.74/x
  3. Step 3: Cross multiply
    5,705.40x = 8,557.17 × 1,810.74
  4. Step 4: Simplify right side
    5,705.40x = 15,494,810.01
  5. Step 5: Solve for x
    x = 15,494,810.01/5,705.40
  6. Step 6: Final answer
    x = 2,715.81

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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.