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Finding the Fourth Proportional to 3,669.04, 5,498.64 and 3,056.64

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Solution

The fourth proportional to 3,669.04, 5,498.64 and 3,056.64 is: 4,580.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669.04 : 5,498.64 = 3,056.64 : x
  2. Step 2: Convert to fraction form
    3,669.04/5,498.64 = 3,056.64/x
  3. Step 3: Cross multiply
    3,669.04x = 5,498.64 × 3,056.64
  4. Step 4: Simplify right side
    3,669.04x = 16,807,362.97
  5. Step 5: Solve for x
    x = 16,807,362.97/3,669.04
  6. Step 6: Final answer
    x = 4,580.86

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Why These Related Problems?

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