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Finding the Fourth Proportional to 6,415.75, 8,852.65 and 4,287.86

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Solution

The fourth proportional to 6,415.75, 8,852.65 and 4,287.86 is: 5,916.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.75 : 8,852.65 = 4,287.86 : x
  2. Step 2: Convert to fraction form
    6,415.75/8,852.65 = 4,287.86/x
  3. Step 3: Cross multiply
    6,415.75x = 8,852.65 × 4,287.86
  4. Step 4: Simplify right side
    6,415.75x = 37,958,923.83
  5. Step 5: Solve for x
    x = 37,958,923.83/6,415.75
  6. Step 6: Final answer
    x = 5,916.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.