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Finding the Fourth Proportional to 4,403, 6,595.86 and 2,205.24

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Solution

The fourth proportional to 4,403, 6,595.86 and 2,205.24 is: 3,303.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,403 : 6,595.86 = 2,205.24 : x
  2. Step 2: Convert to fraction form
    4,403/6,595.86 = 2,205.24/x
  3. Step 3: Cross multiply
    4,403x = 6,595.86 × 2,205.24
  4. Step 4: Simplify right side
    4,403x = 14,545,454.31
  5. Step 5: Solve for x
    x = 14,545,454.31/4,403
  6. Step 6: Final answer
    x = 3,303.53

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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.