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Finding the Fourth Proportional to 3,303.54, 4,957.44 and 2,574.54

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Solution

The fourth proportional to 3,303.54, 4,957.44 and 2,574.54 is: 3,863.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,303.54 : 4,957.44 = 2,574.54 : x
  2. Step 2: Convert to fraction form
    3,303.54/4,957.44 = 2,574.54/x
  3. Step 3: Cross multiply
    3,303.54x = 4,957.44 × 2,574.54
  4. Step 4: Simplify right side
    3,303.54x = 12,763,127.58
  5. Step 5: Solve for x
    x = 12,763,127.58/3,303.54
  6. Step 6: Final answer
    x = 3,863.47

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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.