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Finding the Fourth Proportional to 4,188.98, 6,280.88 and 1,415.39

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Solution

The fourth proportional to 4,188.98, 6,280.88 and 1,415.39 is: 2,122.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,188.98 : 6,280.88 = 1,415.39 : x
  2. Step 2: Convert to fraction form
    4,188.98/6,280.88 = 1,415.39/x
  3. Step 3: Cross multiply
    4,188.98x = 6,280.88 × 1,415.39
  4. Step 4: Simplify right side
    4,188.98x = 8,889,866.88
  5. Step 5: Solve for x
    x = 8,889,866.88/4,188.98
  6. Step 6: Final answer
    x = 2,122.21

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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.