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Finding the Fourth Proportional to 4,624.64, 6,934.16 and 1,773.84

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Solution

The fourth proportional to 4,624.64, 6,934.16 and 1,773.84 is: 2,659.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,624.64 : 6,934.16 = 1,773.84 : x
  2. Step 2: Convert to fraction form
    4,624.64/6,934.16 = 1,773.84/x
  3. Step 3: Cross multiply
    4,624.64x = 6,934.16 × 1,773.84
  4. Step 4: Simplify right side
    4,624.64x = 12,300,081.51
  5. Step 5: Solve for x
    x = 12,300,081.51/4,624.64
  6. Step 6: Final answer
    x = 2,659.69

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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.