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Finding the Fourth Proportional to 4,258, 5,876.04 and 2,602

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Solution

The fourth proportional to 4,258, 5,876.04 and 2,602 is: 3,590.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,258 : 5,876.04 = 2,602 : x
  2. Step 2: Convert to fraction form
    4,258/5,876.04 = 2,602/x
  3. Step 3: Cross multiply
    4,258x = 5,876.04 × 2,602
  4. Step 4: Simplify right side
    4,258x = 15,289,456.08
  5. Step 5: Solve for x
    x = 15,289,456.08/4,258
  6. Step 6: Final answer
    x = 3,590.76

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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.