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Finding the Fourth Proportional to 3,590.34, 5,387.94 and 1,947.42

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Solution

The fourth proportional to 3,590.34, 5,387.94 and 1,947.42 is: 2,922.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,590.34 : 5,387.94 = 1,947.42 : x
  2. Step 2: Convert to fraction form
    3,590.34/5,387.94 = 1,947.42/x
  3. Step 3: Cross multiply
    3,590.34x = 5,387.94 × 1,947.42
  4. Step 4: Simplify right side
    3,590.34x = 10,492,582.11
  5. Step 5: Solve for x
    x = 10,492,582.11/3,590.34
  6. Step 6: Final answer
    x = 2,922.45

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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.