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Finding the Fourth Proportional to 4,827.87, 6,663.32 and 3,505.42

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Solution

The fourth proportional to 4,827.87, 6,663.32 and 3,505.42 is: 4,838.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,827.87 : 6,663.32 = 3,505.42 : x
  2. Step 2: Convert to fraction form
    4,827.87/6,663.32 = 3,505.42/x
  3. Step 3: Cross multiply
    4,827.87x = 6,663.32 × 3,505.42
  4. Step 4: Simplify right side
    4,827.87x = 23,357,758.86
  5. Step 5: Solve for x
    x = 23,357,758.86/4,827.87
  6. Step 6: Final answer
    x = 4,838.11

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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.