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Finding the Fourth Proportional to 4,737.65, 7,106.67 and 1,775.79

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Solution

The fourth proportional to 4,737.65, 7,106.67 and 1,775.79 is: 2,663.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,737.65 : 7,106.67 = 1,775.79 : x
  2. Step 2: Convert to fraction form
    4,737.65/7,106.67 = 1,775.79/x
  3. Step 3: Cross multiply
    4,737.65x = 7,106.67 × 1,775.79
  4. Step 4: Simplify right side
    4,737.65x = 12,619,953.52
  5. Step 5: Solve for x
    x = 12,619,953.52/4,737.65
  6. Step 6: Final answer
    x = 2,663.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.