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Finding the Fourth Proportional to 8,580.12, 12,858.54 and 3,643.57

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Solution

The fourth proportional to 8,580.12, 12,858.54 and 3,643.57 is: 5,460.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,580.12 : 12,858.54 = 3,643.57 : x
  2. Step 2: Convert to fraction form
    8,580.12/12,858.54 = 3,643.57/x
  3. Step 3: Cross multiply
    8,580.12x = 12,858.54 × 3,643.57
  4. Step 4: Simplify right side
    8,580.12x = 46,850,990.59
  5. Step 5: Solve for x
    x = 46,850,990.59/8,580.12
  6. Step 6: Final answer
    x = 5,460.41

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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.