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Finding the Fourth Proportional to 4,436.63, 6,649.30 and 2,357.63

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Solution

The fourth proportional to 4,436.63, 6,649.30 and 2,357.63 is: 3,533.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,436.63 : 6,649.30 = 2,357.63 : x
  2. Step 2: Convert to fraction form
    4,436.63/6,649.30 = 2,357.63/x
  3. Step 3: Cross multiply
    4,436.63x = 6,649.30 × 2,357.63
  4. Step 4: Simplify right side
    4,436.63x = 15,676,614.57
  5. Step 5: Solve for x
    x = 15,676,614.57/4,436.63
  6. Step 6: Final answer
    x = 3,533.45

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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.