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Finding the Fourth Proportional to 5,264.87, 7,264.80 and 2,907.01

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Solution

The fourth proportional to 5,264.87, 7,264.80 and 2,907.01 is: 4,011.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,264.87 : 7,264.80 = 2,907.01 : x
  2. Step 2: Convert to fraction form
    5,264.87/7,264.80 = 2,907.01/x
  3. Step 3: Cross multiply
    5,264.87x = 7,264.80 × 2,907.01
  4. Step 4: Simplify right side
    5,264.87x = 21,118,846.25
  5. Step 5: Solve for x
    x = 21,118,846.25/5,264.87
  6. Step 6: Final answer
    x = 4,011.28

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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.