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Finding the Fourth Proportional to 3,203.68, 4,809.48 and 3,055.92

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Solution

The fourth proportional to 3,203.68, 4,809.48 and 3,055.92 is: 4,587.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.68 : 4,809.48 = 3,055.92 : x
  2. Step 2: Convert to fraction form
    3,203.68/4,809.48 = 3,055.92/x
  3. Step 3: Cross multiply
    3,203.68x = 4,809.48 × 3,055.92
  4. Step 4: Simplify right side
    3,203.68x = 14,697,386.12
  5. Step 5: Solve for x
    x = 14,697,386.12/3,203.68
  6. Step 6: Final answer
    x = 4,587.66

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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.