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Finding the Fourth Proportional to 5,700.03, 7,859.84 and 3,706.89

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Solution

The fourth proportional to 5,700.03, 7,859.84 and 3,706.89 is: 5,111.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,700.03 : 7,859.84 = 3,706.89 : x
  2. Step 2: Convert to fraction form
    5,700.03/7,859.84 = 3,706.89/x
  3. Step 3: Cross multiply
    5,700.03x = 7,859.84 × 3,706.89
  4. Step 4: Simplify right side
    5,700.03x = 29,135,543.76
  5. Step 5: Solve for x
    x = 29,135,543.76/5,700.03
  6. Step 6: Final answer
    x = 5,111.47

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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.