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Finding the Fourth Proportional to 5,705, 8,562.36 and 2,244.68

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Solution

The fourth proportional to 5,705, 8,562.36 and 2,244.68 is: 3,368.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,705 : 8,562.36 = 2,244.68 : x
  2. Step 2: Convert to fraction form
    5,705/8,562.36 = 2,244.68/x
  3. Step 3: Cross multiply
    5,705x = 8,562.36 × 2,244.68
  4. Step 4: Simplify right side
    5,705x = 19,219,758.24
  5. Step 5: Solve for x
    x = 19,219,758.24/5,705
  6. Step 6: Final answer
    x = 3,368.93

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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.