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Finding the Fourth Proportional to 6,436.96, 8,882.58 and 3,603.84

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Solution

The fourth proportional to 6,436.96, 8,882.58 and 3,603.84 is: 4,973.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,436.96 : 8,882.58 = 3,603.84 : x
  2. Step 2: Convert to fraction form
    6,436.96/8,882.58 = 3,603.84/x
  3. Step 3: Cross multiply
    6,436.96x = 8,882.58 × 3,603.84
  4. Step 4: Simplify right side
    6,436.96x = 32,011,397.11
  5. Step 5: Solve for x
    x = 32,011,397.11/6,436.96
  6. Step 6: Final answer
    x = 4,973.06

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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.