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Finding the Fourth Proportional to 4,213, 6,322.38 and 1,477

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Solution

The fourth proportional to 4,213, 6,322.38 and 1,477 is: 2,216.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,213 : 6,322.38 = 1,477 : x
  2. Step 2: Convert to fraction form
    4,213/6,322.38 = 1,477/x
  3. Step 3: Cross multiply
    4,213x = 6,322.38 × 1,477
  4. Step 4: Simplify right side
    4,213x = 9,338,155.26
  5. Step 5: Solve for x
    x = 9,338,155.26/4,213
  6. Step 6: Final answer
    x = 2,216.51

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Why These Related Problems?

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