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Finding the Fourth Proportional to 5,633.76, 7,777.54 and 3,539.10

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Solution

The fourth proportional to 5,633.76, 7,777.54 and 3,539.10 is: 4,885.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,633.76 : 7,777.54 = 3,539.10 : x
  2. Step 2: Convert to fraction form
    5,633.76/7,777.54 = 3,539.10/x
  3. Step 3: Cross multiply
    5,633.76x = 7,777.54 × 3,539.10
  4. Step 4: Simplify right side
    5,633.76x = 27,525,491.81
  5. Step 5: Solve for x
    x = 27,525,491.81/5,633.76
  6. Step 6: Final answer
    x = 4,885.81

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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.