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Finding the Fourth Proportional to 4,637.96, 6,396.65 and 4,077.24

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Solution

The fourth proportional to 4,637.96, 6,396.65 and 4,077.24 is: 5,623.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,637.96 : 6,396.65 = 4,077.24 : x
  2. Step 2: Convert to fraction form
    4,637.96/6,396.65 = 4,077.24/x
  3. Step 3: Cross multiply
    4,637.96x = 6,396.65 × 4,077.24
  4. Step 4: Simplify right side
    4,637.96x = 26,080,677.25
  5. Step 5: Solve for x
    x = 26,080,677.25/4,637.96
  6. Step 6: Final answer
    x = 5,623.31

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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.