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Finding the Fourth Proportional to 5,657.02, 7,805.53 and 3,667.30

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Solution

The fourth proportional to 5,657.02, 7,805.53 and 3,667.30 is: 5,060.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,657.02 : 7,805.53 = 3,667.30 : x
  2. Step 2: Convert to fraction form
    5,657.02/7,805.53 = 3,667.30/x
  3. Step 3: Cross multiply
    5,657.02x = 7,805.53 × 3,667.30
  4. Step 4: Simplify right side
    5,657.02x = 28,625,220.17
  5. Step 5: Solve for x
    x = 28,625,220.17/5,657.02
  6. Step 6: Final answer
    x = 5,060.12

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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.