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Finding the Fourth Proportional to 5,344.84, 7,999.98 and 3,148.12

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Solution

The fourth proportional to 5,344.84, 7,999.98 and 3,148.12 is: 4,712.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,344.84 : 7,999.98 = 3,148.12 : x
  2. Step 2: Convert to fraction form
    5,344.84/7,999.98 = 3,148.12/x
  3. Step 3: Cross multiply
    5,344.84x = 7,999.98 × 3,148.12
  4. Step 4: Simplify right side
    5,344.84x = 25,184,897.04
  5. Step 5: Solve for x
    x = 25,184,897.04/5,344.84
  6. Step 6: Final answer
    x = 4,712.00

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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.