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Finding the Fourth Proportional to 5,706.81, 7,875.63 and 3,188.79

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Solution

The fourth proportional to 5,706.81, 7,875.63 and 3,188.79 is: 4,400.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706.81 : 7,875.63 = 3,188.79 : x
  2. Step 2: Convert to fraction form
    5,706.81/7,875.63 = 3,188.79/x
  3. Step 3: Cross multiply
    5,706.81x = 7,875.63 × 3,188.79
  4. Step 4: Simplify right side
    5,706.81x = 25,113,730.19
  5. Step 5: Solve for x
    x = 25,113,730.19/5,706.81
  6. Step 6: Final answer
    x = 4,400.66

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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.