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Finding the Fourth Proportional to 5,626.96, 7,762.80 and 3,637.72

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Solution

The fourth proportional to 5,626.96, 7,762.80 and 3,637.72 is: 5,018.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,626.96 : 7,762.80 = 3,637.72 : x
  2. Step 2: Convert to fraction form
    5,626.96/7,762.80 = 3,637.72/x
  3. Step 3: Cross multiply
    5,626.96x = 7,762.80 × 3,637.72
  4. Step 4: Simplify right side
    5,626.96x = 28,238,892.82
  5. Step 5: Solve for x
    x = 28,238,892.82/5,626.96
  6. Step 6: Final answer
    x = 5,018.50

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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.