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Finding the Fourth Proportional to 5,258.09, 7,254.87 and 3,465.37

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Solution

The fourth proportional to 5,258.09, 7,254.87 and 3,465.37 is: 4,781.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,258.09 : 7,254.87 = 3,465.37 : x
  2. Step 2: Convert to fraction form
    5,258.09/7,254.87 = 3,465.37/x
  3. Step 3: Cross multiply
    5,258.09x = 7,254.87 × 3,465.37
  4. Step 4: Simplify right side
    5,258.09x = 25,140,808.85
  5. Step 5: Solve for x
    x = 25,140,808.85/5,258.09
  6. Step 6: Final answer
    x = 4,781.36

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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.