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Finding the Fourth Proportional to 5,294.96, 7,943.32 and 1,831.40

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Solution

The fourth proportional to 5,294.96, 7,943.32 and 1,831.40 is: 2,747.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294.96 : 7,943.32 = 1,831.40 : x
  2. Step 2: Convert to fraction form
    5,294.96/7,943.32 = 1,831.40/x
  3. Step 3: Cross multiply
    5,294.96x = 7,943.32 × 1,831.40
  4. Step 4: Simplify right side
    5,294.96x = 14,547,396.25
  5. Step 5: Solve for x
    x = 14,547,396.25/5,294.96
  6. Step 6: Final answer
    x = 2,747.40

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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.