Home / 4,564-6,844.72-2,097.28

Finding the Fourth Proportional to 4,564, 6,844.72 and 2,097.28

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Solution

The fourth proportional to 4,564, 6,844.72 and 2,097.28 is: 3,145.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564 : 6,844.72 = 2,097.28 : x
  2. Step 2: Convert to fraction form
    4,564/6,844.72 = 2,097.28/x
  3. Step 3: Cross multiply
    4,564x = 6,844.72 × 2,097.28
  4. Step 4: Simplify right side
    4,564x = 14,355,294.36
  5. Step 5: Solve for x
    x = 14,355,294.36/4,564
  6. Step 6: Final answer
    x = 3,145.33

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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.