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Finding the Fourth Proportional to 4,258.54, 5,875.12 and 3,142.16

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Solution

The fourth proportional to 4,258.54, 5,875.12 and 3,142.16 is: 4,334.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,258.54 : 5,875.12 = 3,142.16 : x
  2. Step 2: Convert to fraction form
    4,258.54/5,875.12 = 3,142.16/x
  3. Step 3: Cross multiply
    4,258.54x = 5,875.12 × 3,142.16
  4. Step 4: Simplify right side
    4,258.54x = 18,460,567.06
  5. Step 5: Solve for x
    x = 18,460,567.06/4,258.54
  6. Step 6: Final answer
    x = 4,334.95

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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.