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Finding the Fourth Proportional to 4,602.36, 6,898.74 and 2,135.16

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Solution

The fourth proportional to 4,602.36, 6,898.74 and 2,135.16 is: 3,200.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.36 : 6,898.74 = 2,135.16 : x
  2. Step 2: Convert to fraction form
    4,602.36/6,898.74 = 2,135.16/x
  3. Step 3: Cross multiply
    4,602.36x = 6,898.74 × 2,135.16
  4. Step 4: Simplify right side
    4,602.36x = 14,729,913.70
  5. Step 5: Solve for x
    x = 14,729,913.70/4,602.36
  6. Step 6: Final answer
    x = 3,200.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.