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Finding the Fourth Proportional to 4,967.06, 7,451.60 and 1,457.18

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Solution

The fourth proportional to 4,967.06, 7,451.60 and 1,457.18 is: 2,186.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,967.06 : 7,451.60 = 1,457.18 : x
  2. Step 2: Convert to fraction form
    4,967.06/7,451.60 = 1,457.18/x
  3. Step 3: Cross multiply
    4,967.06x = 7,451.60 × 1,457.18
  4. Step 4: Simplify right side
    4,967.06x = 10,858,322.49
  5. Step 5: Solve for x
    x = 10,858,322.49/4,967.06
  6. Step 6: Final answer
    x = 2,186.07

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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.