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Finding the Fourth Proportional to 4,821.52, 6,646.44 and 3,771.76

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Solution

The fourth proportional to 4,821.52, 6,646.44 and 3,771.76 is: 5,199.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,821.52 : 6,646.44 = 3,771.76 : x
  2. Step 2: Convert to fraction form
    4,821.52/6,646.44 = 3,771.76/x
  3. Step 3: Cross multiply
    4,821.52x = 6,646.44 × 3,771.76
  4. Step 4: Simplify right side
    4,821.52x = 25,068,776.53
  5. Step 5: Solve for x
    x = 25,068,776.53/4,821.52
  6. Step 6: Final answer
    x = 5,199.35

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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.