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Finding the Fourth Proportional to 5,706.70, 7,875.18 and 4,026.36

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Solution

The fourth proportional to 5,706.70, 7,875.18 and 4,026.36 is: 5,556.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706.70 : 7,875.18 = 4,026.36 : x
  2. Step 2: Convert to fraction form
    5,706.70/7,875.18 = 4,026.36/x
  3. Step 3: Cross multiply
    5,706.70x = 7,875.18 × 4,026.36
  4. Step 4: Simplify right side
    5,706.70x = 31,708,309.74
  5. Step 5: Solve for x
    x = 31,708,309.74/5,706.70
  6. Step 6: Final answer
    x = 5,556.33

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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.