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Finding the Fourth Proportional to 4,464.81, 6,169.10 and 4,307.13

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Solution

The fourth proportional to 4,464.81, 6,169.10 and 4,307.13 is: 5,951.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,464.81 : 6,169.10 = 4,307.13 : x
  2. Step 2: Convert to fraction form
    4,464.81/6,169.10 = 4,307.13/x
  3. Step 3: Cross multiply
    4,464.81x = 6,169.10 × 4,307.13
  4. Step 4: Simplify right side
    4,464.81x = 26,571,094.15
  5. Step 5: Solve for x
    x = 26,571,094.15/4,464.81
  6. Step 6: Final answer
    x = 5,951.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.