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Finding the Fourth Proportional to 3,354.66, 4,629.47 and 1,862.60

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Solution

The fourth proportional to 3,354.66, 4,629.47 and 1,862.60 is: 2,570.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,354.66 : 4,629.47 = 1,862.60 : x
  2. Step 2: Convert to fraction form
    3,354.66/4,629.47 = 1,862.60/x
  3. Step 3: Cross multiply
    3,354.66x = 4,629.47 × 1,862.60
  4. Step 4: Simplify right side
    3,354.66x = 8,622,818.36
  5. Step 5: Solve for x
    x = 8,622,818.36/3,354.66
  6. Step 6: Final answer
    x = 2,570.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.