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Finding the Fourth Proportional to 3,804.18, 5,707.05 and 1,464.18

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Solution

The fourth proportional to 3,804.18, 5,707.05 and 1,464.18 is: 2,196.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,804.18 : 5,707.05 = 1,464.18 : x
  2. Step 2: Convert to fraction form
    3,804.18/5,707.05 = 1,464.18/x
  3. Step 3: Cross multiply
    3,804.18x = 5,707.05 × 1,464.18
  4. Step 4: Simplify right side
    3,804.18x = 8,356,148.47
  5. Step 5: Solve for x
    x = 8,356,148.47/3,804.18
  6. Step 6: Final answer
    x = 2,196.57

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1.5x scale

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.