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Finding the Fourth Proportional to 3,055.47, 4,216.54 and 1,729.28

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Solution

The fourth proportional to 3,055.47, 4,216.54 and 1,729.28 is: 2,386.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,055.47 : 4,216.54 = 1,729.28 : x
  2. Step 2: Convert to fraction form
    3,055.47/4,216.54 = 1,729.28/x
  3. Step 3: Cross multiply
    3,055.47x = 4,216.54 × 1,729.28
  4. Step 4: Simplify right side
    3,055.47x = 7,291,578.29
  5. Step 5: Solve for x
    x = 7,291,578.29/3,055.47
  6. Step 6: Final answer
    x = 2,386.40

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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.