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Finding the Fourth Proportional to 4,693.79, 7,038.08 and 1,922.41

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Solution

The fourth proportional to 4,693.79, 7,038.08 and 1,922.41 is: 2,882.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,693.79 : 7,038.08 = 1,922.41 : x
  2. Step 2: Convert to fraction form
    4,693.79/7,038.08 = 1,922.41/x
  3. Step 3: Cross multiply
    4,693.79x = 7,038.08 × 1,922.41
  4. Step 4: Simplify right side
    4,693.79x = 13,530,075.37
  5. Step 5: Solve for x
    x = 13,530,075.37/4,693.79
  6. Step 6: Final answer
    x = 2,882.55

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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.