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Finding the Fourth Proportional to 3,485.76, 4,805.28 and 2,434.56

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Solution

The fourth proportional to 3,485.76, 4,805.28 and 2,434.56 is: 3,356.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485.76 : 4,805.28 = 2,434.56 : x
  2. Step 2: Convert to fraction form
    3,485.76/4,805.28 = 2,434.56/x
  3. Step 3: Cross multiply
    3,485.76x = 4,805.28 × 2,434.56
  4. Step 4: Simplify right side
    3,485.76x = 11,698,742.48
  5. Step 5: Solve for x
    x = 11,698,742.48/3,485.76
  6. Step 6: Final answer
    x = 3,356.15

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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.