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Finding the Fourth Proportional to 5,829.66, 8,054.33 and 4,069.13

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Solution

The fourth proportional to 5,829.66, 8,054.33 and 4,069.13 is: 5,621.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,829.66 : 8,054.33 = 4,069.13 : x
  2. Step 2: Convert to fraction form
    5,829.66/8,054.33 = 4,069.13/x
  3. Step 3: Cross multiply
    5,829.66x = 8,054.33 × 4,069.13
  4. Step 4: Simplify right side
    5,829.66x = 32,774,055.22
  5. Step 5: Solve for x
    x = 32,774,055.22/5,829.66
  6. Step 6: Final answer
    x = 5,621.95

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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.