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Finding the Fourth Proportional to 3,804.51, 5,252.70 and 3,405.48

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Solution

The fourth proportional to 3,804.51, 5,252.70 and 3,405.48 is: 4,701.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,804.51 : 5,252.70 = 3,405.48 : x
  2. Step 2: Convert to fraction form
    3,804.51/5,252.70 = 3,405.48/x
  3. Step 3: Cross multiply
    3,804.51x = 5,252.70 × 3,405.48
  4. Step 4: Simplify right side
    3,804.51x = 17,887,964.80
  5. Step 5: Solve for x
    x = 17,887,964.80/3,804.51
  6. Step 6: Final answer
    x = 4,701.78

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1.5x scale

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.