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Finding the Fourth Proportional to 5,673.80, 7,827.52 and 4,098.44

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Solution

The fourth proportional to 5,673.80, 7,827.52 and 4,098.44 is: 5,654.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,673.80 : 7,827.52 = 4,098.44 : x
  2. Step 2: Convert to fraction form
    5,673.80/7,827.52 = 4,098.44/x
  3. Step 3: Cross multiply
    5,673.80x = 7,827.52 × 4,098.44
  4. Step 4: Simplify right side
    5,673.80x = 32,080,621.07
  5. Step 5: Solve for x
    x = 32,080,621.07/5,673.80
  6. Step 6: Final answer
    x = 5,654.17

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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.