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Finding the Fourth Proportional to 4,743.89, 7,114.84 and 1,412.16

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Solution

The fourth proportional to 4,743.89, 7,114.84 and 1,412.16 is: 2,117.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,743.89 : 7,114.84 = 1,412.16 : x
  2. Step 2: Convert to fraction form
    4,743.89/7,114.84 = 1,412.16/x
  3. Step 3: Cross multiply
    4,743.89x = 7,114.84 × 1,412.16
  4. Step 4: Simplify right side
    4,743.89x = 10,047,292.45
  5. Step 5: Solve for x
    x = 10,047,292.45/4,743.89
  6. Step 6: Final answer
    x = 2,117.94

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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.