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Finding the Fourth Proportional to 5,614.86, 8,377.52 and 4,783.80

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Solution

The fourth proportional to 5,614.86, 8,377.52 and 4,783.80 is: 7,137.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,614.86 : 8,377.52 = 4,783.80 : x
  2. Step 2: Convert to fraction form
    5,614.86/8,377.52 = 4,783.80/x
  3. Step 3: Cross multiply
    5,614.86x = 8,377.52 × 4,783.80
  4. Step 4: Simplify right side
    5,614.86x = 40,076,356.26
  5. Step 5: Solve for x
    x = 40,076,356.26/5,614.86
  6. Step 6: Final answer
    x = 7,137.55

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.