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Finding the Fourth Proportional to 3,302.28, 4,950.86 and 1,477

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Solution

The fourth proportional to 3,302.28, 4,950.86 and 1,477 is: 2,214.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,302.28 : 4,950.86 = 1,477 : x
  2. Step 2: Convert to fraction form
    3,302.28/4,950.86 = 1,477/x
  3. Step 3: Cross multiply
    3,302.28x = 4,950.86 × 1,477
  4. Step 4: Simplify right side
    3,302.28x = 7,312,420.22
  5. Step 5: Solve for x
    x = 7,312,420.22/3,302.28
  6. Step 6: Final answer
    x = 2,214.35

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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.