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Finding the Fourth Proportional to 3,693.48, 5,094.54 and 2,946.12

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Solution

The fourth proportional to 3,693.48, 5,094.54 and 2,946.12 is: 4,063.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,693.48 : 5,094.54 = 2,946.12 : x
  2. Step 2: Convert to fraction form
    3,693.48/5,094.54 = 2,946.12/x
  3. Step 3: Cross multiply
    3,693.48x = 5,094.54 × 2,946.12
  4. Step 4: Simplify right side
    3,693.48x = 15,009,126.18
  5. Step 5: Solve for x
    x = 15,009,126.18/3,693.48
  6. Step 6: Final answer
    x = 4,063.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.