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Finding the Fourth Proportional to 3,483.24, 4,807.02 and 2,085.72

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Solution

The fourth proportional to 3,483.24, 4,807.02 and 2,085.72 is: 2,878.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,483.24 : 4,807.02 = 2,085.72 : x
  2. Step 2: Convert to fraction form
    3,483.24/4,807.02 = 2,085.72/x
  3. Step 3: Cross multiply
    3,483.24x = 4,807.02 × 2,085.72
  4. Step 4: Simplify right side
    3,483.24x = 10,026,097.75
  5. Step 5: Solve for x
    x = 10,026,097.75/3,483.24
  6. Step 6: Final answer
    x = 2,878.38

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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.