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Finding the Fourth Proportional to 5,259.02, 7,878.08 and 3,498.68

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Solution

The fourth proportional to 5,259.02, 7,878.08 and 3,498.68 is: 5,241.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,259.02 : 7,878.08 = 3,498.68 : x
  2. Step 2: Convert to fraction form
    5,259.02/7,878.08 = 3,498.68/x
  3. Step 3: Cross multiply
    5,259.02x = 7,878.08 × 3,498.68
  4. Step 4: Simplify right side
    5,259.02x = 27,562,824.05
  5. Step 5: Solve for x
    x = 27,562,824.05/5,259.02
  6. Step 6: Final answer
    x = 5,241.06

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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.