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Finding the Fourth Proportional to 3,483, 4,805.95 and 2,303.44

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Solution

The fourth proportional to 3,483, 4,805.95 and 2,303.44 is: 3,178.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,483 : 4,805.95 = 2,303.44 : x
  2. Step 2: Convert to fraction form
    3,483/4,805.95 = 2,303.44/x
  3. Step 3: Cross multiply
    3,483x = 4,805.95 × 2,303.44
  4. Step 4: Simplify right side
    3,483x = 11,070,217.47
  5. Step 5: Solve for x
    x = 11,070,217.47/3,483
  6. Step 6: Final answer
    x = 3,178.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.