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Finding the Fourth Proportional to 3,821.96, 5,700.12 and 3,756.36

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Solution

The fourth proportional to 3,821.96, 5,700.12 and 3,756.36 is: 5,602.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,821.96 : 5,700.12 = 3,756.36 : x
  2. Step 2: Convert to fraction form
    3,821.96/5,700.12 = 3,756.36/x
  3. Step 3: Cross multiply
    3,821.96x = 5,700.12 × 3,756.36
  4. Step 4: Simplify right side
    3,821.96x = 21,411,702.76
  5. Step 5: Solve for x
    x = 21,411,702.76/3,821.96
  6. Step 6: Final answer
    x = 5,602.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.