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Finding the Fourth Proportional to 5,807.94, 8,706.32 and 1,857.03

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Solution

The fourth proportional to 5,807.94, 8,706.32 and 1,857.03 is: 2,783.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,807.94 : 8,706.32 = 1,857.03 : x
  2. Step 2: Convert to fraction form
    5,807.94/8,706.32 = 1,857.03/x
  3. Step 3: Cross multiply
    5,807.94x = 8,706.32 × 1,857.03
  4. Step 4: Simplify right side
    5,807.94x = 16,167,862.46
  5. Step 5: Solve for x
    x = 16,167,862.46/5,807.94
  6. Step 6: Final answer
    x = 2,783.75

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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.