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Finding the Fourth Proportional to 4,303.47, 6,438.91 and 2,549.41

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Solution

The fourth proportional to 4,303.47, 6,438.91 and 2,549.41 is: 3,814.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,303.47 : 6,438.91 = 2,549.41 : x
  2. Step 2: Convert to fraction form
    4,303.47/6,438.91 = 2,549.41/x
  3. Step 3: Cross multiply
    4,303.47x = 6,438.91 × 2,549.41
  4. Step 4: Simplify right side
    4,303.47x = 16,415,415.17
  5. Step 5: Solve for x
    x = 16,415,415.17/4,303.47
  6. Step 6: Final answer
    x = 3,814.46

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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.