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Finding the Fourth Proportional to 5,570.46, 7,686.89 and 3,052.07

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Solution

The fourth proportional to 5,570.46, 7,686.89 and 3,052.07 is: 4,211.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,570.46 : 7,686.89 = 3,052.07 : x
  2. Step 2: Convert to fraction form
    5,570.46/7,686.89 = 3,052.07/x
  3. Step 3: Cross multiply
    5,570.46x = 7,686.89 × 3,052.07
  4. Step 4: Simplify right side
    5,570.46x = 23,460,887.93
  5. Step 5: Solve for x
    x = 23,460,887.93/5,570.46
  6. Step 6: Final answer
    x = 4,211.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.