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Finding the Fourth Proportional to 5,828.95, 8,029.83 and 4,334.23

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Solution

The fourth proportional to 5,828.95, 8,029.83 and 4,334.23 is: 5,970.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,828.95 : 8,029.83 = 4,334.23 : x
  2. Step 2: Convert to fraction form
    5,828.95/8,029.83 = 4,334.23/x
  3. Step 3: Cross multiply
    5,828.95x = 8,029.83 × 4,334.23
  4. Step 4: Simplify right side
    5,828.95x = 34,803,130.08
  5. Step 5: Solve for x
    x = 34,803,130.08/5,828.95
  6. Step 6: Final answer
    x = 5,970.74

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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.