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Finding the Fourth Proportional to 5,368.16, 8,041.76 and 3,698.35

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Solution

The fourth proportional to 5,368.16, 8,041.76 and 3,698.35 is: 5,540.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,368.16 : 8,041.76 = 3,698.35 : x
  2. Step 2: Convert to fraction form
    5,368.16/8,041.76 = 3,698.35/x
  3. Step 3: Cross multiply
    5,368.16x = 8,041.76 × 3,698.35
  4. Step 4: Simplify right side
    5,368.16x = 29,741,204.50
  5. Step 5: Solve for x
    x = 29,741,204.50/5,368.16
  6. Step 6: Final answer
    x = 5,540.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.