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Finding the Fourth Proportional to 3,602, 4,972.92 and 2,362.16

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Solution

The fourth proportional to 3,602, 4,972.92 and 2,362.16 is: 3,261.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602 : 4,972.92 = 2,362.16 : x
  2. Step 2: Convert to fraction form
    3,602/4,972.92 = 2,362.16/x
  3. Step 3: Cross multiply
    3,602x = 4,972.92 × 2,362.16
  4. Step 4: Simplify right side
    3,602x = 11,746,832.71
  5. Step 5: Solve for x
    x = 11,746,832.71/3,602
  6. Step 6: Final answer
    x = 3,261.20

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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.