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Finding the Fourth Proportional to 4,394.70, 6,592.05 and 1,475.06

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Solution

The fourth proportional to 4,394.70, 6,592.05 and 1,475.06 is: 2,212.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,394.70 : 6,592.05 = 1,475.06 : x
  2. Step 2: Convert to fraction form
    4,394.70/6,592.05 = 1,475.06/x
  3. Step 3: Cross multiply
    4,394.70x = 6,592.05 × 1,475.06
  4. Step 4: Simplify right side
    4,394.70x = 9,723,636.31
  5. Step 5: Solve for x
    x = 9,723,636.31/4,394.70
  6. Step 6: Final answer
    x = 2,212.58

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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.