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Finding the Fourth Proportional to 3,594.72, 5,394.72 and 1,648.26

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Solution

The fourth proportional to 3,594.72, 5,394.72 and 1,648.26 is: 2,473.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,594.72 : 5,394.72 = 1,648.26 : x
  2. Step 2: Convert to fraction form
    3,594.72/5,394.72 = 1,648.26/x
  3. Step 3: Cross multiply
    3,594.72x = 5,394.72 × 1,648.26
  4. Step 4: Simplify right side
    3,594.72x = 8,891,901.19
  5. Step 5: Solve for x
    x = 8,891,901.19/3,594.72
  6. Step 6: Final answer
    x = 2,473.60

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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.