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Finding the Fourth Proportional to 4,957.57, 7,436.37 and 1,259.80

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Solution

The fourth proportional to 4,957.57, 7,436.37 and 1,259.80 is: 1,889.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,957.57 : 7,436.37 = 1,259.80 : x
  2. Step 2: Convert to fraction form
    4,957.57/7,436.37 = 1,259.80/x
  3. Step 3: Cross multiply
    4,957.57x = 7,436.37 × 1,259.80
  4. Step 4: Simplify right side
    4,957.57x = 9,368,338.93
  5. Step 5: Solve for x
    x = 9,368,338.93/4,957.57
  6. Step 6: Final answer
    x = 1,889.70

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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.