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Finding the Fourth Proportional to 5,364.66, 8,046.65 and 1,854.57

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Solution

The fourth proportional to 5,364.66, 8,046.65 and 1,854.57 is: 2,781.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,364.66 : 8,046.65 = 1,854.57 : x
  2. Step 2: Convert to fraction form
    5,364.66/8,046.65 = 1,854.57/x
  3. Step 3: Cross multiply
    5,364.66x = 8,046.65 × 1,854.57
  4. Step 4: Simplify right side
    5,364.66x = 14,923,066.42
  5. Step 5: Solve for x
    x = 14,923,066.42/5,364.66
  6. Step 6: Final answer
    x = 2,781.74

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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.