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Finding the Fourth Proportional to 5,706.39, 7,875.86 and 3,316.69

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Solution

The fourth proportional to 5,706.39, 7,875.86 and 3,316.69 is: 4,577.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706.39 : 7,875.86 = 3,316.69 : x
  2. Step 2: Convert to fraction form
    5,706.39/7,875.86 = 3,316.69/x
  3. Step 3: Cross multiply
    5,706.39x = 7,875.86 × 3,316.69
  4. Step 4: Simplify right side
    5,706.39x = 26,121,749.83
  5. Step 5: Solve for x
    x = 26,121,749.83/5,706.39
  6. Step 6: Final answer
    x = 4,577.63

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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.