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Finding the Fourth Proportional to 6,520.64, 9,782.40 and 1,904

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Solution

The fourth proportional to 6,520.64, 9,782.40 and 1,904 is: 2,856.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,520.64 : 9,782.40 = 1,904 : x
  2. Step 2: Convert to fraction form
    6,520.64/9,782.40 = 1,904/x
  3. Step 3: Cross multiply
    6,520.64x = 9,782.40 × 1,904
  4. Step 4: Simplify right side
    6,520.64x = 18,625,689.60
  5. Step 5: Solve for x
    x = 18,625,689.60/6,520.64
  6. Step 6: Final answer
    x = 2,856.42

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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.