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Finding the Fourth Proportional to 5,336.98, 8,009.54 and 2,417.33

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Solution

The fourth proportional to 5,336.98, 8,009.54 and 2,417.33 is: 3,627.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,336.98 : 8,009.54 = 2,417.33 : x
  2. Step 2: Convert to fraction form
    5,336.98/8,009.54 = 2,417.33/x
  3. Step 3: Cross multiply
    5,336.98x = 8,009.54 × 2,417.33
  4. Step 4: Simplify right side
    5,336.98x = 19,361,689.24
  5. Step 5: Solve for x
    x = 19,361,689.24/5,336.98
  6. Step 6: Final answer
    x = 3,627.84

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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.