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Finding the Fourth Proportional to 5,953.77, 8,214.32 and 3,435.54

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Solution

The fourth proportional to 5,953.77, 8,214.32 and 3,435.54 is: 4,739.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,953.77 : 8,214.32 = 3,435.54 : x
  2. Step 2: Convert to fraction form
    5,953.77/8,214.32 = 3,435.54/x
  3. Step 3: Cross multiply
    5,953.77x = 8,214.32 × 3,435.54
  4. Step 4: Simplify right side
    5,953.77x = 28,220,607.76
  5. Step 5: Solve for x
    x = 28,220,607.76/5,953.77
  6. Step 6: Final answer
    x = 4,739.96

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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.