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Finding the Fourth Proportional to 5,953.85, 8,214.43 and 3,435.63

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Solution

The fourth proportional to 5,953.85, 8,214.43 and 3,435.63 is: 4,740.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,953.85 : 8,214.43 = 3,435.63 : x
  2. Step 2: Convert to fraction form
    5,953.85/8,214.43 = 3,435.63/x
  3. Step 3: Cross multiply
    5,953.85x = 8,214.43 × 3,435.63
  4. Step 4: Simplify right side
    5,953.85x = 28,221,755.40
  5. Step 5: Solve for x
    x = 28,221,755.40/5,953.85
  6. Step 6: Final answer
    x = 4,740.08

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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.