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Finding the Fourth Proportional to 6,184.50, 8,534.64 and 3,700.50

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Solution

The fourth proportional to 6,184.50, 8,534.64 and 3,700.50 is: 5,106.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,184.50 : 8,534.64 = 3,700.50 : x
  2. Step 2: Convert to fraction form
    6,184.50/8,534.64 = 3,700.50/x
  3. Step 3: Cross multiply
    6,184.50x = 8,534.64 × 3,700.50
  4. Step 4: Simplify right side
    6,184.50x = 31,582,435.32
  5. Step 5: Solve for x
    x = 31,582,435.32/6,184.50
  6. Step 6: Final answer
    x = 5,106.71

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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.