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Finding the Fourth Proportional to 4,386.44, 6,575.93 and 1,919.42

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Solution

The fourth proportional to 4,386.44, 6,575.93 and 1,919.42 is: 2,877.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,386.44 : 6,575.93 = 1,919.42 : x
  2. Step 2: Convert to fraction form
    4,386.44/6,575.93 = 1,919.42/x
  3. Step 3: Cross multiply
    4,386.44x = 6,575.93 × 1,919.42
  4. Step 4: Simplify right side
    4,386.44x = 12,621,971.56
  5. Step 5: Solve for x
    x = 12,621,971.56/4,386.44
  6. Step 6: Final answer
    x = 2,877.50

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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.