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Finding the Fourth Proportional to 4,970.84, 6,860.58 and 3,789.68

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Solution

The fourth proportional to 4,970.84, 6,860.58 and 3,789.68 is: 5,230.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,970.84 : 6,860.58 = 3,789.68 : x
  2. Step 2: Convert to fraction form
    4,970.84/6,860.58 = 3,789.68/x
  3. Step 3: Cross multiply
    4,970.84x = 6,860.58 × 3,789.68
  4. Step 4: Simplify right side
    4,970.84x = 25,999,402.81
  5. Step 5: Solve for x
    x = 25,999,402.81/4,970.84
  6. Step 6: Final answer
    x = 5,230.38

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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.