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Finding the Fourth Proportional to 5,807.30, 8,014.23 and 3,417.44

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Solution

The fourth proportional to 5,807.30, 8,014.23 and 3,417.44 is: 4,716.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,807.30 : 8,014.23 = 3,417.44 : x
  2. Step 2: Convert to fraction form
    5,807.30/8,014.23 = 3,417.44/x
  3. Step 3: Cross multiply
    5,807.30x = 8,014.23 × 3,417.44
  4. Step 4: Simplify right side
    5,807.30x = 27,388,150.17
  5. Step 5: Solve for x
    x = 27,388,150.17/5,807.30
  6. Step 6: Final answer
    x = 4,716.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.