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Finding the Fourth Proportional to 3,698.72, 5,102.92 and 2,373.16

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Solution

The fourth proportional to 3,698.72, 5,102.92 and 2,373.16 is: 3,274.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.72 : 5,102.92 = 2,373.16 : x
  2. Step 2: Convert to fraction form
    3,698.72/5,102.92 = 2,373.16/x
  3. Step 3: Cross multiply
    3,698.72x = 5,102.92 × 2,373.16
  4. Step 4: Simplify right side
    3,698.72x = 12,110,045.63
  5. Step 5: Solve for x
    x = 12,110,045.63/3,698.72
  6. Step 6: Final answer
    x = 3,274.12

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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.