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Finding the Fourth Proportional to 3,804.68, 5,707.80 and 1,464.68

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Solution

The fourth proportional to 3,804.68, 5,707.80 and 1,464.68 is: 2,197.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,804.68 : 5,707.80 = 1,464.68 : x
  2. Step 2: Convert to fraction form
    3,804.68/5,707.80 = 1,464.68/x
  3. Step 3: Cross multiply
    3,804.68x = 5,707.80 × 1,464.68
  4. Step 4: Simplify right side
    3,804.68x = 8,360,100.50
  5. Step 5: Solve for x
    x = 8,360,100.50/3,804.68
  6. Step 6: Final answer
    x = 2,197.32

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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.