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Finding the Fourth Proportional to 3,852.53, 5,315.49 and 2,359.91

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Solution

The fourth proportional to 3,852.53, 5,315.49 and 2,359.91 is: 3,256.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852.53 : 5,315.49 = 2,359.91 : x
  2. Step 2: Convert to fraction form
    3,852.53/5,315.49 = 2,359.91/x
  3. Step 3: Cross multiply
    3,852.53x = 5,315.49 × 2,359.91
  4. Step 4: Simplify right side
    3,852.53x = 12,544,051.43
  5. Step 5: Solve for x
    x = 12,544,051.43/3,852.53
  6. Step 6: Final answer
    x = 3,256.06

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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.