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Finding the Fourth Proportional to 6,398.04, 8,828.82 and 3,603

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Solution

The fourth proportional to 6,398.04, 8,828.82 and 3,603 is: 4,971.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,398.04 : 8,828.82 = 3,603 : x
  2. Step 2: Convert to fraction form
    6,398.04/8,828.82 = 3,603/x
  3. Step 3: Cross multiply
    6,398.04x = 8,828.82 × 3,603
  4. Step 4: Simplify right side
    6,398.04x = 31,810,238.46
  5. Step 5: Solve for x
    x = 31,810,238.46/6,398.04
  6. Step 6: Final answer
    x = 4,971.87

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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.