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Finding the Fourth Proportional to 4,700.46, 7,049.73 and 1,777.74

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Solution

The fourth proportional to 4,700.46, 7,049.73 and 1,777.74 is: 2,666.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,700.46 : 7,049.73 = 1,777.74 : x
  2. Step 2: Convert to fraction form
    4,700.46/7,049.73 = 1,777.74/x
  3. Step 3: Cross multiply
    4,700.46x = 7,049.73 × 1,777.74
  4. Step 4: Simplify right side
    4,700.46x = 12,532,587.01
  5. Step 5: Solve for x
    x = 12,532,587.01/4,700.46
  6. Step 6: Final answer
    x = 2,666.25

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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.