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Finding the Fourth Proportional to 6,228.29, 8,598.59 and 4,109.93

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Solution

The fourth proportional to 6,228.29, 8,598.59 and 4,109.93 is: 5,674.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,228.29 : 8,598.59 = 4,109.93 : x
  2. Step 2: Convert to fraction form
    6,228.29/8,598.59 = 4,109.93/x
  3. Step 3: Cross multiply
    6,228.29x = 8,598.59 × 4,109.93
  4. Step 4: Simplify right side
    6,228.29x = 35,339,582.45
  5. Step 5: Solve for x
    x = 35,339,582.45/6,228.29
  6. Step 6: Final answer
    x = 5,674.04

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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.