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Finding the Fourth Proportional to 4,824.47, 6,653.47 and 3,032.14

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Solution

The fourth proportional to 4,824.47, 6,653.47 and 3,032.14 is: 4,181.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,824.47 : 6,653.47 = 3,032.14 : x
  2. Step 2: Convert to fraction form
    4,824.47/6,653.47 = 3,032.14/x
  3. Step 3: Cross multiply
    4,824.47x = 6,653.47 × 3,032.14
  4. Step 4: Simplify right side
    4,824.47x = 20,174,252.53
  5. Step 5: Solve for x
    x = 20,174,252.53/4,824.47
  6. Step 6: Final answer
    x = 4,181.65

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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.