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Finding the Fourth Proportional to 4,690.78, 6,474.14 and 3,014.28

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Solution

The fourth proportional to 4,690.78, 6,474.14 and 3,014.28 is: 4,160.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,690.78 : 6,474.14 = 3,014.28 : x
  2. Step 2: Convert to fraction form
    4,690.78/6,474.14 = 3,014.28/x
  3. Step 3: Cross multiply
    4,690.78x = 6,474.14 × 3,014.28
  4. Step 4: Simplify right side
    4,690.78x = 19,514,878.25
  5. Step 5: Solve for x
    x = 19,514,878.25/4,690.78
  6. Step 6: Final answer
    x = 4,160.27

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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.