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Finding the Fourth Proportional to 3,784.70, 5,302.90 and 3,784.70

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Solution

The fourth proportional to 3,784.70, 5,302.90 and 3,784.70 is: 5,302.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.70 : 5,302.90 = 3,784.70 : x
  2. Step 2: Convert to fraction form
    3,784.70/5,302.90 = 3,784.70/x
  3. Step 3: Cross multiply
    3,784.70x = 5,302.90 × 3,784.70
  4. Step 4: Simplify right side
    3,784.70x = 20,069,885.63
  5. Step 5: Solve for x
    x = 20,069,885.63/3,784.70
  6. Step 6: Final answer
    x = 5,302.90

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.