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Finding the Fourth Proportional to 3,784.59, 5,223.91 and 3,385.53

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Solution

The fourth proportional to 3,784.59, 5,223.91 and 3,385.53 is: 4,673.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.59 : 5,223.91 = 3,385.53 : x
  2. Step 2: Convert to fraction form
    3,784.59/5,223.91 = 3,385.53/x
  3. Step 3: Cross multiply
    3,784.59x = 5,223.91 × 3,385.53
  4. Step 4: Simplify right side
    3,784.59x = 17,685,704.02
  5. Step 5: Solve for x
    x = 17,685,704.02/3,784.59
  6. Step 6: Final answer
    x = 4,673.08

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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.