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Finding the Fourth Proportional to 4,539.64, 6,805.84 and 4,175.16

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Solution

The fourth proportional to 4,539.64, 6,805.84 and 4,175.16 is: 6,259.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,539.64 : 6,805.84 = 4,175.16 : x
  2. Step 2: Convert to fraction form
    4,539.64/6,805.84 = 4,175.16/x
  3. Step 3: Cross multiply
    4,539.64x = 6,805.84 × 4,175.16
  4. Step 4: Simplify right side
    4,539.64x = 28,415,470.93
  5. Step 5: Solve for x
    x = 28,415,470.93/4,539.64
  6. Step 6: Final answer
    x = 6,259.41

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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.