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Finding the Fourth Proportional to 4,436.69, 6,643.65 and 4,305.30

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Solution

The fourth proportional to 4,436.69, 6,643.65 and 4,305.30 is: 6,446.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,436.69 : 6,643.65 = 4,305.30 : x
  2. Step 2: Convert to fraction form
    4,436.69/6,643.65 = 4,305.30/x
  3. Step 3: Cross multiply
    4,436.69x = 6,643.65 × 4,305.30
  4. Step 4: Simplify right side
    4,436.69x = 28,602,934.95
  5. Step 5: Solve for x
    x = 28,602,934.95/4,436.69
  6. Step 6: Final answer
    x = 6,446.91

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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.