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Finding the Fourth Proportional to 5,493.01, 7,580.35 and 2,975.14

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Solution

The fourth proportional to 5,493.01, 7,580.35 and 2,975.14 is: 4,105.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,493.01 : 7,580.35 = 2,975.14 : x
  2. Step 2: Convert to fraction form
    5,493.01/7,580.35 = 2,975.14/x
  3. Step 3: Cross multiply
    5,493.01x = 7,580.35 × 2,975.14
  4. Step 4: Simplify right side
    5,493.01x = 22,552,602.50
  5. Step 5: Solve for x
    x = 22,552,602.50/5,493.01
  6. Step 6: Final answer
    x = 4,105.69

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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.