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Finding the Fourth Proportional to 5,206.64, 7,820.71 and 4,982.08

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Solution

The fourth proportional to 5,206.64, 7,820.71 and 4,982.08 is: 7,483.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.64 : 7,820.71 = 4,982.08 : x
  2. Step 2: Convert to fraction form
    5,206.64/7,820.71 = 4,982.08/x
  3. Step 3: Cross multiply
    5,206.64x = 7,820.71 × 4,982.08
  4. Step 4: Simplify right side
    5,206.64x = 38,963,402.88
  5. Step 5: Solve for x
    x = 38,963,402.88/5,206.64
  6. Step 6: Final answer
    x = 7,483.41

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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.