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Finding the Fourth Proportional to 4,189.46, 6,284.90 and 1,416.16

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Solution

The fourth proportional to 4,189.46, 6,284.90 and 1,416.16 is: 2,124.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,189.46 : 6,284.90 = 1,416.16 : x
  2. Step 2: Convert to fraction form
    4,189.46/6,284.90 = 1,416.16/x
  3. Step 3: Cross multiply
    4,189.46x = 6,284.90 × 1,416.16
  4. Step 4: Simplify right side
    4,189.46x = 8,900,411.81
  5. Step 5: Solve for x
    x = 8,900,411.81/4,189.46
  6. Step 6: Final answer
    x = 2,124.48

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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.