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Finding the Fourth Proportional to 5,885.94, 8,114.65 and 5,043

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Solution

The fourth proportional to 5,885.94, 8,114.65 and 5,043 is: 6,952.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,885.94 : 8,114.65 = 5,043 : x
  2. Step 2: Convert to fraction form
    5,885.94/8,114.65 = 5,043/x
  3. Step 3: Cross multiply
    5,885.94x = 8,114.65 × 5,043
  4. Step 4: Simplify right side
    5,885.94x = 40,922,179.95
  5. Step 5: Solve for x
    x = 40,922,179.95/5,885.94
  6. Step 6: Final answer
    x = 6,952.53

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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.