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Finding the Fourth Proportional to 4,216.84, 5,806.02 and 3,468.40

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Solution

The fourth proportional to 4,216.84, 5,806.02 and 3,468.40 is: 4,775.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,216.84 : 5,806.02 = 3,468.40 : x
  2. Step 2: Convert to fraction form
    4,216.84/5,806.02 = 3,468.40/x
  3. Step 3: Cross multiply
    4,216.84x = 5,806.02 × 3,468.40
  4. Step 4: Simplify right side
    4,216.84x = 20,137,599.77
  5. Step 5: Solve for x
    x = 20,137,599.77/4,216.84
  6. Step 6: Final answer
    x = 4,775.52

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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.