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Finding the Fourth Proportional to 5,646.58, 7,784.58 and 3,758.25

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Solution

The fourth proportional to 5,646.58, 7,784.58 and 3,758.25 is: 5,181.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.58 : 7,784.58 = 3,758.25 : x
  2. Step 2: Convert to fraction form
    5,646.58/7,784.58 = 3,758.25/x
  3. Step 3: Cross multiply
    5,646.58x = 7,784.58 × 3,758.25
  4. Step 4: Simplify right side
    5,646.58x = 29,256,397.79
  5. Step 5: Solve for x
    x = 29,256,397.79/5,646.58
  6. Step 6: Final answer
    x = 5,181.26

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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.