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Finding the Fourth Proportional to 4,577.59, 6,853.11 and 4,102.78

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Solution

The fourth proportional to 4,577.59, 6,853.11 and 4,102.78 is: 6,142.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,577.59 : 6,853.11 = 4,102.78 : x
  2. Step 2: Convert to fraction form
    4,577.59/6,853.11 = 4,102.78/x
  3. Step 3: Cross multiply
    4,577.59x = 6,853.11 × 4,102.78
  4. Step 4: Simplify right side
    4,577.59x = 28,116,802.65
  5. Step 5: Solve for x
    x = 28,116,802.65/4,577.59
  6. Step 6: Final answer
    x = 6,142.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.