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Finding the Fourth Proportional to 4,465.45, 6,698.38 and 3,684.00

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Solution

The fourth proportional to 4,465.45, 6,698.38 and 3,684.00 is: 5,526.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,465.45 : 6,698.38 = 3,684.00 : x
  2. Step 2: Convert to fraction form
    4,465.45/6,698.38 = 3,684.00/x
  3. Step 3: Cross multiply
    4,465.45x = 6,698.38 × 3,684.00
  4. Step 4: Simplify right side
    4,465.45x = 24,676,817.06
  5. Step 5: Solve for x
    x = 24,676,817.06/4,465.45
  6. Step 6: Final answer
    x = 5,526.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.