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Finding the Fourth Proportional to 4,957.77, 7,437.34 and 1,671.80

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Solution

The fourth proportional to 4,957.77, 7,437.34 and 1,671.80 is: 2,507.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,957.77 : 7,437.34 = 1,671.80 : x
  2. Step 2: Convert to fraction form
    4,957.77/7,437.34 = 1,671.80/x
  3. Step 3: Cross multiply
    4,957.77x = 7,437.34 × 1,671.80
  4. Step 4: Simplify right side
    4,957.77x = 12,433,736.65
  5. Step 5: Solve for x
    x = 12,433,736.65/4,957.77
  6. Step 6: Final answer
    x = 2,507.93

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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.