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Finding the Fourth Proportional to 4,968.11, 7,451.94 and 1,457.98

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Solution

The fourth proportional to 4,968.11, 7,451.94 and 1,457.98 is: 2,186.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,968.11 : 7,451.94 = 1,457.98 : x
  2. Step 2: Convert to fraction form
    4,968.11/7,451.94 = 1,457.98/x
  3. Step 3: Cross multiply
    4,968.11x = 7,451.94 × 1,457.98
  4. Step 4: Simplify right side
    4,968.11x = 10,864,779.48
  5. Step 5: Solve for x
    x = 10,864,779.48/4,968.11
  6. Step 6: Final answer
    x = 2,186.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.