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Finding the Fourth Proportional to 5,333.60, 8,000.40 and 4,685.60

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Solution

The fourth proportional to 5,333.60, 8,000.40 and 4,685.60 is: 7,028.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,333.60 : 8,000.40 = 4,685.60 : x
  2. Step 2: Convert to fraction form
    5,333.60/8,000.40 = 4,685.60/x
  3. Step 3: Cross multiply
    5,333.60x = 8,000.40 × 4,685.60
  4. Step 4: Simplify right side
    5,333.60x = 37,486,674.24
  5. Step 5: Solve for x
    x = 37,486,674.24/5,333.60
  6. Step 6: Final answer
    x = 7,028.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.