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Finding the Fourth Proportional to 5,188.32, 7,782.40 and 1,292.76

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Solution

The fourth proportional to 5,188.32, 7,782.40 and 1,292.76 is: 1,939.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188.32 : 7,782.40 = 1,292.76 : x
  2. Step 2: Convert to fraction form
    5,188.32/7,782.40 = 1,292.76/x
  3. Step 3: Cross multiply
    5,188.32x = 7,782.40 × 1,292.76
  4. Step 4: Simplify right side
    5,188.32x = 10,060,775.42
  5. Step 5: Solve for x
    x = 10,060,775.42/5,188.32
  6. Step 6: Final answer
    x = 1,939.12

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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.