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Finding the Fourth Proportional to 5,133.86, 7,700.74 and 1,436.30

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Solution

The fourth proportional to 5,133.86, 7,700.74 and 1,436.30 is: 2,154.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,133.86 : 7,700.74 = 1,436.30 : x
  2. Step 2: Convert to fraction form
    5,133.86/7,700.74 = 1,436.30/x
  3. Step 3: Cross multiply
    5,133.86x = 7,700.74 × 1,436.30
  4. Step 4: Simplify right side
    5,133.86x = 11,060,572.86
  5. Step 5: Solve for x
    x = 11,060,572.86/5,133.86
  6. Step 6: Final answer
    x = 2,154.44

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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.