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Finding the Fourth Proportional to 3,603.84, 4,971.84 and 3,356.80

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Solution

The fourth proportional to 3,603.84, 4,971.84 and 3,356.80 is: 4,631.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,603.84 : 4,971.84 = 3,356.80 : x
  2. Step 2: Convert to fraction form
    3,603.84/4,971.84 = 3,356.80/x
  3. Step 3: Cross multiply
    3,603.84x = 4,971.84 × 3,356.80
  4. Step 4: Simplify right side
    3,603.84x = 16,689,472.51
  5. Step 5: Solve for x
    x = 16,689,472.51/3,603.84
  6. Step 6: Final answer
    x = 4,631.02

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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.