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Finding the Fourth Proportional to 4,970.08, 7,457.04 and 2,194.80

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Solution

The fourth proportional to 4,970.08, 7,457.04 and 2,194.80 is: 3,293.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,970.08 : 7,457.04 = 2,194.80 : x
  2. Step 2: Convert to fraction form
    4,970.08/7,457.04 = 2,194.80/x
  3. Step 3: Cross multiply
    4,970.08x = 7,457.04 × 2,194.80
  4. Step 4: Simplify right side
    4,970.08x = 16,366,711.39
  5. Step 5: Solve for x
    x = 16,366,711.39/4,970.08
  6. Step 6: Final answer
    x = 3,293.05

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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.