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Finding the Fourth Proportional to 3,611.63, 5,417.09 and 1,148.06

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Solution

The fourth proportional to 3,611.63, 5,417.09 and 1,148.06 is: 1,721.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,611.63 : 5,417.09 = 1,148.06 : x
  2. Step 2: Convert to fraction form
    3,611.63/5,417.09 = 1,148.06/x
  3. Step 3: Cross multiply
    3,611.63x = 5,417.09 × 1,148.06
  4. Step 4: Simplify right side
    3,611.63x = 6,219,111.52
  5. Step 5: Solve for x
    x = 6,219,111.52/3,611.63
  6. Step 6: Final answer
    x = 1,721.97

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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.