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Finding the Fourth Proportional to 4,165.39, 6,246.25 and 1,566.50

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Solution

The fourth proportional to 4,165.39, 6,246.25 and 1,566.50 is: 2,349.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,165.39 : 6,246.25 = 1,566.50 : x
  2. Step 2: Convert to fraction form
    4,165.39/6,246.25 = 1,566.50/x
  3. Step 3: Cross multiply
    4,165.39x = 6,246.25 × 1,566.50
  4. Step 4: Simplify right side
    4,165.39x = 9,784,750.63
  5. Step 5: Solve for x
    x = 9,784,750.63/4,165.39
  6. Step 6: Final answer
    x = 2,349.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.