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Finding the Fourth Proportional to 5,900.40, 8,089.76 and 5,795.10

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Solution

The fourth proportional to 5,900.40, 8,089.76 and 5,795.10 is: 7,945.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,900.40 : 8,089.76 = 5,795.10 : x
  2. Step 2: Convert to fraction form
    5,900.40/8,089.76 = 5,795.10/x
  3. Step 3: Cross multiply
    5,900.40x = 8,089.76 × 5,795.10
  4. Step 4: Simplify right side
    5,900.40x = 46,880,968.18
  5. Step 5: Solve for x
    x = 46,880,968.18/5,900.40
  6. Step 6: Final answer
    x = 7,945.39

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.