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Finding the Fourth Proportional to 3,477.59, 5,215.06 and 1,137.04

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Solution

The fourth proportional to 3,477.59, 5,215.06 and 1,137.04 is: 1,705.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477.59 : 5,215.06 = 1,137.04 : x
  2. Step 2: Convert to fraction form
    3,477.59/5,215.06 = 1,137.04/x
  3. Step 3: Cross multiply
    3,477.59x = 5,215.06 × 1,137.04
  4. Step 4: Simplify right side
    3,477.59x = 5,929,731.82
  5. Step 5: Solve for x
    x = 5,929,731.82/3,477.59
  6. Step 6: Final answer
    x = 1,705.13

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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.