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Finding the Fourth Proportional to 2,858.52, 3,948.30 and 2,465.40

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Solution

The fourth proportional to 2,858.52, 3,948.30 and 2,465.40 is: 3,405.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858.52 : 3,948.30 = 2,465.40 : x
  2. Step 2: Convert to fraction form
    2,858.52/3,948.30 = 2,465.40/x
  3. Step 3: Cross multiply
    2,858.52x = 3,948.30 × 2,465.40
  4. Step 4: Simplify right side
    2,858.52x = 9,734,138.82
  5. Step 5: Solve for x
    x = 9,734,138.82/2,858.52
  6. Step 6: Final answer
    x = 3,405.31

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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.