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Finding the Fourth Proportional to 4,878.75, 7,319.39 and 1,416.09

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Solution

The fourth proportional to 4,878.75, 7,319.39 and 1,416.09 is: 2,124.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,878.75 : 7,319.39 = 1,416.09 : x
  2. Step 2: Convert to fraction form
    4,878.75/7,319.39 = 1,416.09/x
  3. Step 3: Cross multiply
    4,878.75x = 7,319.39 × 1,416.09
  4. Step 4: Simplify right side
    4,878.75x = 10,364,907.90
  5. Step 5: Solve for x
    x = 10,364,907.90/4,878.75
  6. Step 6: Final answer
    x = 2,124.50

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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.