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Finding the Fourth Proportional to 5,706.15, 7,868.45 and 4,444.98

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Solution

The fourth proportional to 5,706.15, 7,868.45 and 4,444.98 is: 6,129.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706.15 : 7,868.45 = 4,444.98 : x
  2. Step 2: Convert to fraction form
    5,706.15/7,868.45 = 4,444.98/x
  3. Step 3: Cross multiply
    5,706.15x = 7,868.45 × 4,444.98
  4. Step 4: Simplify right side
    5,706.15x = 34,975,080.66
  5. Step 5: Solve for x
    x = 34,975,080.66/5,706.15
  6. Step 6: Final answer
    x = 6,129.37

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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.