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Finding the Fourth Proportional to 3,698.34, 5,547.50 and 2,158.26

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Solution

The fourth proportional to 3,698.34, 5,547.50 and 2,158.26 is: 3,237.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.34 : 5,547.50 = 2,158.26 : x
  2. Step 2: Convert to fraction form
    3,698.34/5,547.50 = 2,158.26/x
  3. Step 3: Cross multiply
    3,698.34x = 5,547.50 × 2,158.26
  4. Step 4: Simplify right side
    3,698.34x = 11,972,947.35
  5. Step 5: Solve for x
    x = 11,972,947.35/3,698.34
  6. Step 6: Final answer
    x = 3,237.38

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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.