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Finding the Fourth Proportional to 5,672.98, 8,509.47 and 1,777.69

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Solution

The fourth proportional to 5,672.98, 8,509.47 and 1,777.69 is: 2,666.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672.98 : 8,509.47 = 1,777.69 : x
  2. Step 2: Convert to fraction form
    5,672.98/8,509.47 = 1,777.69/x
  3. Step 3: Cross multiply
    5,672.98x = 8,509.47 × 1,777.69
  4. Step 4: Simplify right side
    5,672.98x = 15,127,190.84
  5. Step 5: Solve for x
    x = 15,127,190.84/5,672.98
  6. Step 6: Final answer
    x = 2,666.53

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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.