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Finding the Fourth Proportional to 5,952.25, 8,210.40 and 3,830.55

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Solution

The fourth proportional to 5,952.25, 8,210.40 and 3,830.55 is: 5,283.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,952.25 : 8,210.40 = 3,830.55 : x
  2. Step 2: Convert to fraction form
    5,952.25/8,210.40 = 3,830.55/x
  3. Step 3: Cross multiply
    5,952.25x = 8,210.40 × 3,830.55
  4. Step 4: Simplify right side
    5,952.25x = 31,450,347.72
  5. Step 5: Solve for x
    x = 31,450,347.72/5,952.25
  6. Step 6: Final answer
    x = 5,283.77

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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.