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Finding the Fourth Proportional to 4,975.68, 7,464.76 and 1,465.80

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Solution

The fourth proportional to 4,975.68, 7,464.76 and 1,465.80 is: 2,199.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,975.68 : 7,464.76 = 1,465.80 : x
  2. Step 2: Convert to fraction form
    4,975.68/7,464.76 = 1,465.80/x
  3. Step 3: Cross multiply
    4,975.68x = 7,464.76 × 1,465.80
  4. Step 4: Simplify right side
    4,975.68x = 10,941,845.21
  5. Step 5: Solve for x
    x = 10,941,845.21/4,975.68
  6. Step 6: Final answer
    x = 2,199.07

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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.