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Finding the Fourth Proportional to 3,055.72, 4,583.82 and 976.02

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Solution

The fourth proportional to 3,055.72, 4,583.82 and 976.02 is: 1,464.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,055.72 : 4,583.82 = 976.02 : x
  2. Step 2: Convert to fraction form
    3,055.72/4,583.82 = 976.02/x
  3. Step 3: Cross multiply
    3,055.72x = 4,583.82 × 976.02
  4. Step 4: Simplify right side
    3,055.72x = 4,473,886.47
  5. Step 5: Solve for x
    x = 4,473,886.47/3,055.72
  6. Step 6: Final answer
    x = 1,464.10

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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.