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Finding the Fourth Proportional to 3,693.48, 5,094.48 and 2,906.16

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Solution

The fourth proportional to 3,693.48, 5,094.48 and 2,906.16 is: 4,008.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,693.48 : 5,094.48 = 2,906.16 : x
  2. Step 2: Convert to fraction form
    3,693.48/5,094.48 = 2,906.16/x
  3. Step 3: Cross multiply
    3,693.48x = 5,094.48 × 2,906.16
  4. Step 4: Simplify right side
    3,693.48x = 14,805,374.00
  5. Step 5: Solve for x
    x = 14,805,374.00/3,693.48
  6. Step 6: Final answer
    x = 4,008.52

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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.