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Finding the Fourth Proportional to 3,589.56, 4,953.78 and 2,097.45

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Solution

The fourth proportional to 3,589.56, 4,953.78 and 2,097.45 is: 2,894.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,589.56 : 4,953.78 = 2,097.45 : x
  2. Step 2: Convert to fraction form
    3,589.56/4,953.78 = 2,097.45/x
  3. Step 3: Cross multiply
    3,589.56x = 4,953.78 × 2,097.45
  4. Step 4: Simplify right side
    3,589.56x = 10,390,305.86
  5. Step 5: Solve for x
    x = 10,390,305.86/3,589.56
  6. Step 6: Final answer
    x = 2,894.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.