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Finding the Fourth Proportional to 4,275.94, 6,416.08 and 2,084.62

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Solution

The fourth proportional to 4,275.94, 6,416.08 and 2,084.62 is: 3,127.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,275.94 : 6,416.08 = 2,084.62 : x
  2. Step 2: Convert to fraction form
    4,275.94/6,416.08 = 2,084.62/x
  3. Step 3: Cross multiply
    4,275.94x = 6,416.08 × 2,084.62
  4. Step 4: Simplify right side
    4,275.94x = 13,375,088.69
  5. Step 5: Solve for x
    x = 13,375,088.69/4,275.94
  6. Step 6: Final answer
    x = 3,127.99

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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.