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Finding the Fourth Proportional to 4,536.16, 6,769.73 and 4,419.52

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Solution

The fourth proportional to 4,536.16, 6,769.73 and 4,419.52 is: 6,595.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,536.16 : 6,769.73 = 4,419.52 : x
  2. Step 2: Convert to fraction form
    4,536.16/6,769.73 = 4,419.52/x
  3. Step 3: Cross multiply
    4,536.16x = 6,769.73 × 4,419.52
  4. Step 4: Simplify right side
    4,536.16x = 29,918,957.13
  5. Step 5: Solve for x
    x = 29,918,957.13/4,536.16
  6. Step 6: Final answer
    x = 6,595.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.