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Finding the Fourth Proportional to 4,188.71, 6,280.84 and 1,415.07

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Solution

The fourth proportional to 4,188.71, 6,280.84 and 1,415.07 is: 2,121.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,188.71 : 6,280.84 = 1,415.07 : x
  2. Step 2: Convert to fraction form
    4,188.71/6,280.84 = 1,415.07/x
  3. Step 3: Cross multiply
    4,188.71x = 6,280.84 × 1,415.07
  4. Step 4: Simplify right side
    4,188.71x = 8,887,830.03
  5. Step 5: Solve for x
    x = 8,887,830.03/4,188.71
  6. Step 6: Final answer
    x = 2,121.85

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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.