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Finding the Fourth Proportional to 4,723.92, 7,075.08 and 2,775.60

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Solution

The fourth proportional to 4,723.92, 7,075.08 and 2,775.60 is: 4,157.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,723.92 : 7,075.08 = 2,775.60 : x
  2. Step 2: Convert to fraction form
    4,723.92/7,075.08 = 2,775.60/x
  3. Step 3: Cross multiply
    4,723.92x = 7,075.08 × 2,775.60
  4. Step 4: Simplify right side
    4,723.92x = 19,637,592.05
  5. Step 5: Solve for x
    x = 19,637,592.05/4,723.92
  6. Step 6: Final answer
    x = 4,157.05

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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.