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Finding the Fourth Proportional to 4,606.19, 6,902.74 and 3,548.00

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Solution

The fourth proportional to 4,606.19, 6,902.74 and 3,548.00 is: 5,316.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,606.19 : 6,902.74 = 3,548.00 : x
  2. Step 2: Convert to fraction form
    4,606.19/6,902.74 = 3,548.00/x
  3. Step 3: Cross multiply
    4,606.19x = 6,902.74 × 3,548.00
  4. Step 4: Simplify right side
    4,606.19x = 24,490,878.14
  5. Step 5: Solve for x
    x = 24,490,878.14/4,606.19
  6. Step 6: Final answer
    x = 5,316.95

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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.