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Finding the Fourth Proportional to 3,664.96, 5,062.64 and 3,548.32

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Solution

The fourth proportional to 3,664.96, 5,062.64 and 3,548.32 is: 4,901.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664.96 : 5,062.64 = 3,548.32 : x
  2. Step 2: Convert to fraction form
    3,664.96/5,062.64 = 3,548.32/x
  3. Step 3: Cross multiply
    3,664.96x = 5,062.64 × 3,548.32
  4. Step 4: Simplify right side
    3,664.96x = 17,963,866.76
  5. Step 5: Solve for x
    x = 17,963,866.76/3,664.96
  6. Step 6: Final answer
    x = 4,901.52

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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.