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Finding the Fourth Proportional to 5,854.60, 8,781.60 and 4,214.08

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Solution

The fourth proportional to 5,854.60, 8,781.60 and 4,214.08 is: 6,320.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,854.60 : 8,781.60 = 4,214.08 : x
  2. Step 2: Convert to fraction form
    5,854.60/8,781.60 = 4,214.08/x
  3. Step 3: Cross multiply
    5,854.60x = 8,781.60 × 4,214.08
  4. Step 4: Simplify right side
    5,854.60x = 37,006,364.93
  5. Step 5: Solve for x
    x = 37,006,364.93/5,854.60
  6. Step 6: Final answer
    x = 6,320.90

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1.5x scale

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.