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Finding the Fourth Proportional to 5,558.84, 7,669.84 and 3,461.48

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Solution

The fourth proportional to 5,558.84, 7,669.84 and 3,461.48 is: 4,776.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,558.84 : 7,669.84 = 3,461.48 : x
  2. Step 2: Convert to fraction form
    5,558.84/7,669.84 = 3,461.48/x
  3. Step 3: Cross multiply
    5,558.84x = 7,669.84 × 3,461.48
  4. Step 4: Simplify right side
    5,558.84x = 26,548,997.76
  5. Step 5: Solve for x
    x = 26,548,997.76/5,558.84
  6. Step 6: Final answer
    x = 4,776.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.