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Finding the Fourth Proportional to 4,437.50, 6,656.26 and 1,359.50

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Solution

The fourth proportional to 4,437.50, 6,656.26 and 1,359.50 is: 2,039.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,437.50 : 6,656.26 = 1,359.50 : x
  2. Step 2: Convert to fraction form
    4,437.50/6,656.26 = 1,359.50/x
  3. Step 3: Cross multiply
    4,437.50x = 6,656.26 × 1,359.50
  4. Step 4: Simplify right side
    4,437.50x = 9,049,185.47
  5. Step 5: Solve for x
    x = 9,049,185.47/4,437.50
  6. Step 6: Final answer
    x = 2,039.25

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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.