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Finding the Fourth Proportional to 5,446.34, 7,514.02 and 4,032.99

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Solution

The fourth proportional to 5,446.34, 7,514.02 and 4,032.99 is: 5,564.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,446.34 : 7,514.02 = 4,032.99 : x
  2. Step 2: Convert to fraction form
    5,446.34/7,514.02 = 4,032.99/x
  3. Step 3: Cross multiply
    5,446.34x = 7,514.02 × 4,032.99
  4. Step 4: Simplify right side
    5,446.34x = 30,303,949.88
  5. Step 5: Solve for x
    x = 30,303,949.88/5,446.34
  6. Step 6: Final answer
    x = 5,564.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.