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Finding the Fourth Proportional to 5,213.79, 7,822.80 and 1,927.08

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Solution

The fourth proportional to 5,213.79, 7,822.80 and 1,927.08 is: 2,891.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.79 : 7,822.80 = 1,927.08 : x
  2. Step 2: Convert to fraction form
    5,213.79/7,822.80 = 1,927.08/x
  3. Step 3: Cross multiply
    5,213.79x = 7,822.80 × 1,927.08
  4. Step 4: Simplify right side
    5,213.79x = 15,075,161.42
  5. Step 5: Solve for x
    x = 15,075,161.42/5,213.79
  6. Step 6: Final answer
    x = 2,891.40

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1.5x scale

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.