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Finding the Fourth Proportional to 3,354.02, 4,628.40 and 1,862

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Solution

The fourth proportional to 3,354.02, 4,628.40 and 1,862 is: 2,569.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,354.02 : 4,628.40 = 1,862 : x
  2. Step 2: Convert to fraction form
    3,354.02/4,628.40 = 1,862/x
  3. Step 3: Cross multiply
    3,354.02x = 4,628.40 × 1,862
  4. Step 4: Simplify right side
    3,354.02x = 8,618,080.80
  5. Step 5: Solve for x
    x = 8,618,080.80/3,354.02
  6. Step 6: Final answer
    x = 2,569.48

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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.