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Finding the Fourth Proportional to 5,656.85, 8,484.09 and 2,145.64

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Solution

The fourth proportional to 5,656.85, 8,484.09 and 2,145.64 is: 3,218.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,656.85 : 8,484.09 = 2,145.64 : x
  2. Step 2: Convert to fraction form
    5,656.85/8,484.09 = 2,145.64/x
  3. Step 3: Cross multiply
    5,656.85x = 8,484.09 × 2,145.64
  4. Step 4: Simplify right side
    5,656.85x = 18,203,802.87
  5. Step 5: Solve for x
    x = 18,203,802.87/5,656.85
  6. Step 6: Final answer
    x = 3,218.01

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