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Finding the Fourth Proportional to 4,188.94, 6,284.10 and 1,415.78

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Solution

The fourth proportional to 4,188.94, 6,284.10 and 1,415.78 is: 2,123.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,188.94 : 6,284.10 = 1,415.78 : x
  2. Step 2: Convert to fraction form
    4,188.94/6,284.10 = 1,415.78/x
  3. Step 3: Cross multiply
    4,188.94x = 6,284.10 × 1,415.78
  4. Step 4: Simplify right side
    4,188.94x = 8,896,903.10
  5. Step 5: Solve for x
    x = 8,896,903.10/4,188.94
  6. Step 6: Final answer
    x = 2,123.90

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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.