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Finding the Fourth Proportional to 4,108.64, 5,653.46 and 3,985.65

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Solution

The fourth proportional to 4,108.64, 5,653.46 and 3,985.65 is: 5,484.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,108.64 : 5,653.46 = 3,985.65 : x
  2. Step 2: Convert to fraction form
    4,108.64/5,653.46 = 3,985.65/x
  3. Step 3: Cross multiply
    4,108.64x = 5,653.46 × 3,985.65
  4. Step 4: Simplify right side
    4,108.64x = 22,532,722.81
  5. Step 5: Solve for x
    x = 22,532,722.81/4,108.64
  6. Step 6: Final answer
    x = 5,484.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.