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Finding the Fourth Proportional to 4,852.74, 6,697.71 and 3,086.40

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Solution

The fourth proportional to 4,852.74, 6,697.71 and 3,086.40 is: 4,259.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,852.74 : 6,697.71 = 3,086.40 : x
  2. Step 2: Convert to fraction form
    4,852.74/6,697.71 = 3,086.40/x
  3. Step 3: Cross multiply
    4,852.74x = 6,697.71 × 3,086.40
  4. Step 4: Simplify right side
    4,852.74x = 20,671,812.14
  5. Step 5: Solve for x
    x = 20,671,812.14/4,852.74
  6. Step 6: Final answer
    x = 4,259.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.