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Finding the Fourth Proportional to 4,816.84, 6,655.06 and 3,830.26

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Solution

The fourth proportional to 4,816.84, 6,655.06 and 3,830.26 is: 5,291.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,816.84 : 6,655.06 = 3,830.26 : x
  2. Step 2: Convert to fraction form
    4,816.84/6,655.06 = 3,830.26/x
  3. Step 3: Cross multiply
    4,816.84x = 6,655.06 × 3,830.26
  4. Step 4: Simplify right side
    4,816.84x = 25,490,610.12
  5. Step 5: Solve for x
    x = 25,490,610.12/4,816.84
  6. Step 6: Final answer
    x = 5,291.98

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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.