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Finding the Fourth Proportional to 3,695.68, 5,100.08 and 2,102.16

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Solution

The fourth proportional to 3,695.68, 5,100.08 and 2,102.16 is: 2,901.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695.68 : 5,100.08 = 2,102.16 : x
  2. Step 2: Convert to fraction form
    3,695.68/5,100.08 = 2,102.16/x
  3. Step 3: Cross multiply
    3,695.68x = 5,100.08 × 2,102.16
  4. Step 4: Simplify right side
    3,695.68x = 10,721,184.17
  5. Step 5: Solve for x
    x = 10,721,184.17/3,695.68
  6. Step 6: Final answer
    x = 2,901.00

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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.