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Finding the Fourth Proportional to 6,397.65, 8,828.64 and 3,603.15

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Solution

The fourth proportional to 6,397.65, 8,828.64 and 3,603.15 is: 4,972.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397.65 : 8,828.64 = 3,603.15 : x
  2. Step 2: Convert to fraction form
    6,397.65/8,828.64 = 3,603.15/x
  3. Step 3: Cross multiply
    6,397.65x = 8,828.64 × 3,603.15
  4. Step 4: Simplify right side
    6,397.65x = 31,810,914.22
  5. Step 5: Solve for x
    x = 31,810,914.22/6,397.65
  6. Step 6: Final answer
    x = 4,972.28

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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.