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Finding the Fourth Proportional to 3,297.84, 4,547.16 and 2,632.56

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Solution

The fourth proportional to 3,297.84, 4,547.16 and 2,632.56 is: 3,629.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.84 : 4,547.16 = 2,632.56 : x
  2. Step 2: Convert to fraction form
    3,297.84/4,547.16 = 2,632.56/x
  3. Step 3: Cross multiply
    3,297.84x = 4,547.16 × 2,632.56
  4. Step 4: Simplify right side
    3,297.84x = 11,970,671.53
  5. Step 5: Solve for x
    x = 11,970,671.53/3,297.84
  6. Step 6: Final answer
    x = 3,629.85

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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.