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Finding the Fourth Proportional to 4,669.02, 6,440.04 and 4,469.76

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Solution

The fourth proportional to 4,669.02, 6,440.04 and 4,469.76 is: 6,165.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,669.02 : 6,440.04 = 4,469.76 : x
  2. Step 2: Convert to fraction form
    4,669.02/6,440.04 = 4,469.76/x
  3. Step 3: Cross multiply
    4,669.02x = 6,440.04 × 4,469.76
  4. Step 4: Simplify right side
    4,669.02x = 28,785,433.19
  5. Step 5: Solve for x
    x = 28,785,433.19/4,669.02
  6. Step 6: Final answer
    x = 6,165.20

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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.