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Finding the Fourth Proportional to 5,166.16, 7,744.93 and 2,394.81

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Solution

The fourth proportional to 5,166.16, 7,744.93 and 2,394.81 is: 3,590.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,166.16 : 7,744.93 = 2,394.81 : x
  2. Step 2: Convert to fraction form
    5,166.16/7,744.93 = 2,394.81/x
  3. Step 3: Cross multiply
    5,166.16x = 7,744.93 × 2,394.81
  4. Step 4: Simplify right side
    5,166.16x = 18,547,623.84
  5. Step 5: Solve for x
    x = 18,547,623.84/5,166.16
  6. Step 6: Final answer
    x = 3,590.22

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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.