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Finding the Fourth Proportional to 5,637.82, 7,784.02 and 3,514.20

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Solution

The fourth proportional to 5,637.82, 7,784.02 and 3,514.20 is: 4,851.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,637.82 : 7,784.02 = 3,514.20 : x
  2. Step 2: Convert to fraction form
    5,637.82/7,784.02 = 3,514.20/x
  3. Step 3: Cross multiply
    5,637.82x = 7,784.02 × 3,514.20
  4. Step 4: Simplify right side
    5,637.82x = 27,354,603.08
  5. Step 5: Solve for x
    x = 27,354,603.08/5,637.82
  6. Step 6: Final answer
    x = 4,851.98

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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.