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Finding the Fourth Proportional to 3,448.95, 5,165.16 and 1,886.61

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Solution

The fourth proportional to 3,448.95, 5,165.16 and 1,886.61 is: 2,825.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,448.95 : 5,165.16 = 1,886.61 : x
  2. Step 2: Convert to fraction form
    3,448.95/5,165.16 = 1,886.61/x
  3. Step 3: Cross multiply
    3,448.95x = 5,165.16 × 1,886.61
  4. Step 4: Simplify right side
    3,448.95x = 9,744,642.51
  5. Step 5: Solve for x
    x = 9,744,642.51/3,448.95
  6. Step 6: Final answer
    x = 2,825.39

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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.