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Finding the Fourth Proportional to 3,693.40, 5,511.65 and 3,045.40

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Solution

The fourth proportional to 3,693.40, 5,511.65 and 3,045.40 is: 4,544.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,693.40 : 5,511.65 = 3,045.40 : x
  2. Step 2: Convert to fraction form
    3,693.40/5,511.65 = 3,045.40/x
  3. Step 3: Cross multiply
    3,693.40x = 5,511.65 × 3,045.40
  4. Step 4: Simplify right side
    3,693.40x = 16,785,178.91
  5. Step 5: Solve for x
    x = 16,785,178.91/3,693.40
  6. Step 6: Final answer
    x = 4,544.64

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.