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Finding the Fourth Proportional to 3,558.52, 4,911 and 1,986.58

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Solution

The fourth proportional to 3,558.52, 4,911 and 1,986.58 is: 2,741.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,558.52 : 4,911 = 1,986.58 : x
  2. Step 2: Convert to fraction form
    3,558.52/4,911 = 1,986.58/x
  3. Step 3: Cross multiply
    3,558.52x = 4,911 × 1,986.58
  4. Step 4: Simplify right side
    3,558.52x = 9,756,094.38
  5. Step 5: Solve for x
    x = 9,756,094.38/3,558.52
  6. Step 6: Final answer
    x = 2,741.62

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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.