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Finding the Fourth Proportional to 4,774.74, 7,162.50 and 1,488.06

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Solution

The fourth proportional to 4,774.74, 7,162.50 and 1,488.06 is: 2,232.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,774.74 : 7,162.50 = 1,488.06 : x
  2. Step 2: Convert to fraction form
    4,774.74/7,162.50 = 1,488.06/x
  3. Step 3: Cross multiply
    4,774.74x = 7,162.50 × 1,488.06
  4. Step 4: Simplify right side
    4,774.74x = 10,658,229.75
  5. Step 5: Solve for x
    x = 10,658,229.75/4,774.74
  6. Step 6: Final answer
    x = 2,232.21

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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.