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Finding the Fourth Proportional to 4,664, 6,436.32 and 2,801.60

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Solution

The fourth proportional to 4,664, 6,436.32 and 2,801.60 is: 3,866.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,664 : 6,436.32 = 2,801.60 : x
  2. Step 2: Convert to fraction form
    4,664/6,436.32 = 2,801.60/x
  3. Step 3: Cross multiply
    4,664x = 6,436.32 × 2,801.60
  4. Step 4: Simplify right side
    4,664x = 18,031,994.11
  5. Step 5: Solve for x
    x = 18,031,994.11/4,664
  6. Step 6: Final answer
    x = 3,866.21

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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.