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Finding the Fourth Proportional to 5,948.63, 8,209.18 and 3,590.31

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Solution

The fourth proportional to 5,948.63, 8,209.18 and 3,590.31 is: 4,954.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,948.63 : 8,209.18 = 3,590.31 : x
  2. Step 2: Convert to fraction form
    5,948.63/8,209.18 = 3,590.31/x
  3. Step 3: Cross multiply
    5,948.63x = 8,209.18 × 3,590.31
  4. Step 4: Simplify right side
    5,948.63x = 29,473,501.05
  5. Step 5: Solve for x
    x = 29,473,501.05/5,948.63
  6. Step 6: Final answer
    x = 4,954.67

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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.