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Finding the Fourth Proportional to 4,447.24, 6,671.58 and 1,369

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Solution

The fourth proportional to 4,447.24, 6,671.58 and 1,369 is: 2,053.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,447.24 : 6,671.58 = 1,369 : x
  2. Step 2: Convert to fraction form
    4,447.24/6,671.58 = 1,369/x
  3. Step 3: Cross multiply
    4,447.24x = 6,671.58 × 1,369
  4. Step 4: Simplify right side
    4,447.24x = 9,133,393.02
  5. Step 5: Solve for x
    x = 9,133,393.02/4,447.24
  6. Step 6: Final answer
    x = 2,053.72

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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.