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Finding the Fourth Proportional to 3,594.56, 4,959.74 and 2,102.18

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Solution

The fourth proportional to 3,594.56, 4,959.74 and 2,102.18 is: 2,900.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,594.56 : 4,959.74 = 2,102.18 : x
  2. Step 2: Convert to fraction form
    3,594.56/4,959.74 = 2,102.18/x
  3. Step 3: Cross multiply
    3,594.56x = 4,959.74 × 2,102.18
  4. Step 4: Simplify right side
    3,594.56x = 10,426,266.23
  5. Step 5: Solve for x
    x = 10,426,266.23/3,594.56
  6. Step 6: Final answer
    x = 2,900.57

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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.