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Finding the Fourth Proportional to 5,648.66, 8,473 and 2,359.96

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Solution

The fourth proportional to 5,648.66, 8,473 and 2,359.96 is: 3,539.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648.66 : 8,473 = 2,359.96 : x
  2. Step 2: Convert to fraction form
    5,648.66/8,473 = 2,359.96/x
  3. Step 3: Cross multiply
    5,648.66x = 8,473 × 2,359.96
  4. Step 4: Simplify right side
    5,648.66x = 19,995,941.08
  5. Step 5: Solve for x
    x = 19,995,941.08/5,648.66
  6. Step 6: Final answer
    x = 3,539.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.