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Finding the Fourth Proportional to 3,605.52, 5,404.40 and 1,656.08

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Solution

The fourth proportional to 3,605.52, 5,404.40 and 1,656.08 is: 2,482.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,605.52 : 5,404.40 = 1,656.08 : x
  2. Step 2: Convert to fraction form
    3,605.52/5,404.40 = 1,656.08/x
  3. Step 3: Cross multiply
    3,605.52x = 5,404.40 × 1,656.08
  4. Step 4: Simplify right side
    3,605.52x = 8,950,118.75
  5. Step 5: Solve for x
    x = 8,950,118.75/3,605.52
  6. Step 6: Final answer
    x = 2,482.34

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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.