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Finding the Fourth Proportional to 5,319.84, 7,967.88 and 3,465.30

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Solution

The fourth proportional to 5,319.84, 7,967.88 and 3,465.30 is: 5,190.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,319.84 : 7,967.88 = 3,465.30 : x
  2. Step 2: Convert to fraction form
    5,319.84/7,967.88 = 3,465.30/x
  3. Step 3: Cross multiply
    5,319.84x = 7,967.88 × 3,465.30
  4. Step 4: Simplify right side
    5,319.84x = 27,611,094.56
  5. Step 5: Solve for x
    x = 27,611,094.56/5,319.84
  6. Step 6: Final answer
    x = 5,190.21

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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.