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Finding the Fourth Proportional to 5,258.64, 7,875.78 and 3,774

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Solution

The fourth proportional to 5,258.64, 7,875.78 and 3,774 is: 5,652.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,258.64 : 7,875.78 = 3,774 : x
  2. Step 2: Convert to fraction form
    5,258.64/7,875.78 = 3,774/x
  3. Step 3: Cross multiply
    5,258.64x = 7,875.78 × 3,774
  4. Step 4: Simplify right side
    5,258.64x = 29,723,193.72
  5. Step 5: Solve for x
    x = 29,723,193.72/5,258.64
  6. Step 6: Final answer
    x = 5,652.26

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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.