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Finding the Fourth Proportional to 5,805.60, 8,014.32 and 3,448.50

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Solution

The fourth proportional to 5,805.60, 8,014.32 and 3,448.50 is: 4,760.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,805.60 : 8,014.32 = 3,448.50 : x
  2. Step 2: Convert to fraction form
    5,805.60/8,014.32 = 3,448.50/x
  3. Step 3: Cross multiply
    5,805.60x = 8,014.32 × 3,448.50
  4. Step 4: Simplify right side
    5,805.60x = 27,637,382.52
  5. Step 5: Solve for x
    x = 27,637,382.52/5,805.60
  6. Step 6: Final answer
    x = 4,760.47

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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.