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Finding the Fourth Proportional to 5,258.91, 7,888.36 and 1,363.32

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Solution

The fourth proportional to 5,258.91, 7,888.36 and 1,363.32 is: 2,044.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,258.91 : 7,888.36 = 1,363.32 : x
  2. Step 2: Convert to fraction form
    5,258.91/7,888.36 = 1,363.32/x
  3. Step 3: Cross multiply
    5,258.91x = 7,888.36 × 1,363.32
  4. Step 4: Simplify right side
    5,258.91x = 10,754,319.51
  5. Step 5: Solve for x
    x = 10,754,319.51/5,258.91
  6. Step 6: Final answer
    x = 2,044.97

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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.