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Finding the Fourth Proportional to 5,803.42, 8,688.57 and 5,435.60

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Solution

The fourth proportional to 5,803.42, 8,688.57 and 5,435.60 is: 8,137.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,803.42 : 8,688.57 = 5,435.60 : x
  2. Step 2: Convert to fraction form
    5,803.42/8,688.57 = 5,435.60/x
  3. Step 3: Cross multiply
    5,803.42x = 8,688.57 × 5,435.60
  4. Step 4: Simplify right side
    5,803.42x = 47,227,591.09
  5. Step 5: Solve for x
    x = 47,227,591.09/5,803.42
  6. Step 6: Final answer
    x = 8,137.89

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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.