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Finding the Fourth Proportional to 4,660.02, 7,004.43 and 4,429.62

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Solution

The fourth proportional to 4,660.02, 7,004.43 and 4,429.62 is: 6,658.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,660.02 : 7,004.43 = 4,429.62 : x
  2. Step 2: Convert to fraction form
    4,660.02/7,004.43 = 4,429.62/x
  3. Step 3: Cross multiply
    4,660.02x = 7,004.43 × 4,429.62
  4. Step 4: Simplify right side
    4,660.02x = 31,026,963.22
  5. Step 5: Solve for x
    x = 31,026,963.22/4,660.02
  6. Step 6: Final answer
    x = 6,658.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.