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Finding the Fourth Proportional to 6,184.42, 8,529.82 and 4,296

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Solution

The fourth proportional to 6,184.42, 8,529.82 and 4,296 is: 5,925.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,184.42 : 8,529.82 = 4,296 : x
  2. Step 2: Convert to fraction form
    6,184.42/8,529.82 = 4,296/x
  3. Step 3: Cross multiply
    6,184.42x = 8,529.82 × 4,296
  4. Step 4: Simplify right side
    6,184.42x = 36,644,106.72
  5. Step 5: Solve for x
    x = 36,644,106.72/6,184.42
  6. Step 6: Final answer
    x = 5,925.23

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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.