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Finding the Fourth Proportional to 4,505.42, 6,214.35 and 4,133.63

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Solution

The fourth proportional to 4,505.42, 6,214.35 and 4,133.63 is: 5,701.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,505.42 : 6,214.35 = 4,133.63 : x
  2. Step 2: Convert to fraction form
    4,505.42/6,214.35 = 4,133.63/x
  3. Step 3: Cross multiply
    4,505.42x = 6,214.35 × 4,133.63
  4. Step 4: Simplify right side
    4,505.42x = 25,687,854.63
  5. Step 5: Solve for x
    x = 25,687,854.63/4,505.42
  6. Step 6: Final answer
    x = 5,701.54

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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.