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Finding the Fourth Proportional to 5,971.54, 8,966.81 and 4,929.25

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Solution

The fourth proportional to 5,971.54, 8,966.81 and 4,929.25 is: 7,401.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.54 : 8,966.81 = 4,929.25 : x
  2. Step 2: Convert to fraction form
    5,971.54/8,966.81 = 4,929.25/x
  3. Step 3: Cross multiply
    5,971.54x = 8,966.81 × 4,929.25
  4. Step 4: Simplify right side
    5,971.54x = 44,199,648.19
  5. Step 5: Solve for x
    x = 44,199,648.19/5,971.54
  6. Step 6: Final answer
    x = 7,401.72

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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.