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Finding the Fourth Proportional to 4,756.30, 7,135.22 and 1,468.63

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Solution

The fourth proportional to 4,756.30, 7,135.22 and 1,468.63 is: 2,203.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,756.30 : 7,135.22 = 1,468.63 : x
  2. Step 2: Convert to fraction form
    4,756.30/7,135.22 = 1,468.63/x
  3. Step 3: Cross multiply
    4,756.30x = 7,135.22 × 1,468.63
  4. Step 4: Simplify right side
    4,756.30x = 10,478,998.15
  5. Step 5: Solve for x
    x = 10,478,998.15/4,756.30
  6. Step 6: Final answer
    x = 2,203.18

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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.