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Finding the Fourth Proportional to 4,235.84, 6,356.48 and 2,289.44

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Solution

The fourth proportional to 4,235.84, 6,356.48 and 2,289.44 is: 3,435.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,235.84 : 6,356.48 = 2,289.44 : x
  2. Step 2: Convert to fraction form
    4,235.84/6,356.48 = 2,289.44/x
  3. Step 3: Cross multiply
    4,235.84x = 6,356.48 × 2,289.44
  4. Step 4: Simplify right side
    4,235.84x = 14,552,779.57
  5. Step 5: Solve for x
    x = 14,552,779.57/4,235.84
  6. Step 6: Final answer
    x = 3,435.63

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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.