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Finding the Fourth Proportional to 4,854.28, 6,703.14 and 3,804.52

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Solution

The fourth proportional to 4,854.28, 6,703.14 and 3,804.52 is: 5,253.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,854.28 : 6,703.14 = 3,804.52 : x
  2. Step 2: Convert to fraction form
    4,854.28/6,703.14 = 3,804.52/x
  3. Step 3: Cross multiply
    4,854.28x = 6,703.14 × 3,804.52
  4. Step 4: Simplify right side
    4,854.28x = 25,502,230.19
  5. Step 5: Solve for x
    x = 25,502,230.19/4,854.28
  6. Step 6: Final answer
    x = 5,253.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.