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Finding the Fourth Proportional to 5,656.61, 8,485.12 and 1,496.65

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Solution

The fourth proportional to 5,656.61, 8,485.12 and 1,496.65 is: 2,245.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,656.61 : 8,485.12 = 1,496.65 : x
  2. Step 2: Convert to fraction form
    5,656.61/8,485.12 = 1,496.65/x
  3. Step 3: Cross multiply
    5,656.61x = 8,485.12 × 1,496.65
  4. Step 4: Simplify right side
    5,656.61x = 12,699,254.85
  5. Step 5: Solve for x
    x = 12,699,254.85/5,656.61
  6. Step 6: Final answer
    x = 2,245.03

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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.