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Finding the Fourth Proportional to 3,686.66, 5,094.07 and 2,946.73

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Solution

The fourth proportional to 3,686.66, 5,094.07 and 2,946.73 is: 4,071.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686.66 : 5,094.07 = 2,946.73 : x
  2. Step 2: Convert to fraction form
    3,686.66/5,094.07 = 2,946.73/x
  3. Step 3: Cross multiply
    3,686.66x = 5,094.07 × 2,946.73
  4. Step 4: Simplify right side
    3,686.66x = 15,010,848.89
  5. Step 5: Solve for x
    x = 15,010,848.89/3,686.66
  6. Step 6: Final answer
    x = 4,071.67

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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.