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Finding the Fourth Proportional to 3,636.91, 5,454.05 and 1,557.06

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Solution

The fourth proportional to 3,636.91, 5,454.05 and 1,557.06 is: 2,335.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,636.91 : 5,454.05 = 1,557.06 : x
  2. Step 2: Convert to fraction form
    3,636.91/5,454.05 = 1,557.06/x
  3. Step 3: Cross multiply
    3,636.91x = 5,454.05 × 1,557.06
  4. Step 4: Simplify right side
    3,636.91x = 8,492,283.09
  5. Step 5: Solve for x
    x = 8,492,283.09/3,636.91
  6. Step 6: Final answer
    x = 2,335.03

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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.