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Finding the Fourth Proportional to 5,820.13, 8,734.43 and 4,363.21

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Solution

The fourth proportional to 5,820.13, 8,734.43 and 4,363.21 is: 6,547.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,820.13 : 8,734.43 = 4,363.21 : x
  2. Step 2: Convert to fraction form
    5,820.13/8,734.43 = 4,363.21/x
  3. Step 3: Cross multiply
    5,820.13x = 8,734.43 × 4,363.21
  4. Step 4: Simplify right side
    5,820.13x = 38,110,130.50
  5. Step 5: Solve for x
    x = 38,110,130.50/5,820.13
  6. Step 6: Final answer
    x = 6,547.99

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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.