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Finding the Fourth Proportional to 3,695.72, 5,098.80 and 2,370.16

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Solution

The fourth proportional to 3,695.72, 5,098.80 and 2,370.16 is: 3,269.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695.72 : 5,098.80 = 2,370.16 : x
  2. Step 2: Convert to fraction form
    3,695.72/5,098.80 = 2,370.16/x
  3. Step 3: Cross multiply
    3,695.72x = 5,098.80 × 2,370.16
  4. Step 4: Simplify right side
    3,695.72x = 12,084,971.81
  5. Step 5: Solve for x
    x = 12,084,971.81/3,695.72
  6. Step 6: Final answer
    x = 3,269.99

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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.