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Finding the Fourth Proportional to 4,573.98, 6,856.80 and 1,650.18

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Solution

The fourth proportional to 4,573.98, 6,856.80 and 1,650.18 is: 2,473.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,573.98 : 6,856.80 = 1,650.18 : x
  2. Step 2: Convert to fraction form
    4,573.98/6,856.80 = 1,650.18/x
  3. Step 3: Cross multiply
    4,573.98x = 6,856.80 × 1,650.18
  4. Step 4: Simplify right side
    4,573.98x = 11,314,954.22
  5. Step 5: Solve for x
    x = 11,314,954.22/4,573.98
  6. Step 6: Final answer
    x = 2,473.77

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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.