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Finding the Fourth Proportional to 4,909.44, 7,364.16 and 2,856

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Solution

The fourth proportional to 4,909.44, 7,364.16 and 2,856 is: 4,284.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,909.44 : 7,364.16 = 2,856 : x
  2. Step 2: Convert to fraction form
    4,909.44/7,364.16 = 2,856/x
  3. Step 3: Cross multiply
    4,909.44x = 7,364.16 × 2,856
  4. Step 4: Simplify right side
    4,909.44x = 21,032,040.96
  5. Step 5: Solve for x
    x = 21,032,040.96/4,909.44
  6. Step 6: Final answer
    x = 4,284.00

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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.