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Finding the Fourth Proportional to 5,807.60, 8,727.60 and 5,094.80

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Solution

The fourth proportional to 5,807.60, 8,727.60 and 5,094.80 is: 7,656.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,807.60 : 8,727.60 = 5,094.80 : x
  2. Step 2: Convert to fraction form
    5,807.60/8,727.60 = 5,094.80/x
  3. Step 3: Cross multiply
    5,807.60x = 8,727.60 × 5,094.80
  4. Step 4: Simplify right side
    5,807.60x = 44,465,376.48
  5. Step 5: Solve for x
    x = 44,465,376.48/5,807.60
  6. Step 6: Final answer
    x = 7,656.41

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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.