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Finding the Fourth Proportional to 4,969.58, 7,457.10 and 3,023.14

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Solution

The fourth proportional to 4,969.58, 7,457.10 and 3,023.14 is: 4,536.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.58 : 7,457.10 = 3,023.14 : x
  2. Step 2: Convert to fraction form
    4,969.58/7,457.10 = 3,023.14/x
  3. Step 3: Cross multiply
    4,969.58x = 7,457.10 × 3,023.14
  4. Step 4: Simplify right side
    4,969.58x = 22,543,857.29
  5. Step 5: Solve for x
    x = 22,543,857.29/4,969.58
  6. Step 6: Final answer
    x = 4,536.37

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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.