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Finding the Fourth Proportional to 3,354.65, 4,629.47 and 1,862.66

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Solution

The fourth proportional to 3,354.65, 4,629.47 and 1,862.66 is: 2,570.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,354.65 : 4,629.47 = 1,862.66 : x
  2. Step 2: Convert to fraction form
    3,354.65/4,629.47 = 1,862.66/x
  3. Step 3: Cross multiply
    3,354.65x = 4,629.47 × 1,862.66
  4. Step 4: Simplify right side
    3,354.65x = 8,623,128.59
  5. Step 5: Solve for x
    x = 8,623,128.59/3,354.65
  6. Step 6: Final answer
    x = 2,570.50

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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.