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Finding the Fourth Proportional to 5,134.71, 7,703.01 and 1,625.60

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Solution

The fourth proportional to 5,134.71, 7,703.01 and 1,625.60 is: 2,438.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,134.71 : 7,703.01 = 1,625.60 : x
  2. Step 2: Convert to fraction form
    5,134.71/7,703.01 = 1,625.60/x
  3. Step 3: Cross multiply
    5,134.71x = 7,703.01 × 1,625.60
  4. Step 4: Simplify right side
    5,134.71x = 12,521,993.80
  5. Step 5: Solve for x
    x = 12,521,993.80/5,134.71
  6. Step 6: Final answer
    x = 2,438.70

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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.