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Finding the Fourth Proportional to 5,585, 8,378.52 and 2,296.30

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Solution

The fourth proportional to 5,585, 8,378.52 and 2,296.30 is: 3,444.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,585 : 8,378.52 = 2,296.30 : x
  2. Step 2: Convert to fraction form
    5,585/8,378.52 = 2,296.30/x
  3. Step 3: Cross multiply
    5,585x = 8,378.52 × 2,296.30
  4. Step 4: Simplify right side
    5,585x = 19,239,595.48
  5. Step 5: Solve for x
    x = 19,239,595.48/5,585
  6. Step 6: Final answer
    x = 3,444.87

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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.