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Finding the Fourth Proportional to 5,684.64, 7,841.80 and 3,913.18

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Solution

The fourth proportional to 5,684.64, 7,841.80 and 3,913.18 is: 5,398.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.64 : 7,841.80 = 3,913.18 : x
  2. Step 2: Convert to fraction form
    5,684.64/7,841.80 = 3,913.18/x
  3. Step 3: Cross multiply
    5,684.64x = 7,841.80 × 3,913.18
  4. Step 4: Simplify right side
    5,684.64x = 30,686,374.92
  5. Step 5: Solve for x
    x = 30,686,374.92/5,684.64
  6. Step 6: Final answer
    x = 5,398.12

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1.5x scale

Why These Related Problems?

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