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Finding the Fourth Proportional to 5,674.51, 7,829.66 and 3,316.19

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Solution

The fourth proportional to 5,674.51, 7,829.66 and 3,316.19 is: 4,575.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.51 : 7,829.66 = 3,316.19 : x
  2. Step 2: Convert to fraction form
    5,674.51/7,829.66 = 3,316.19/x
  3. Step 3: Cross multiply
    5,674.51x = 7,829.66 × 3,316.19
  4. Step 4: Simplify right side
    5,674.51x = 25,964,668.06
  5. Step 5: Solve for x
    x = 25,964,668.06/5,674.51
  6. Step 6: Final answer
    x = 4,575.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.