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Finding the Fourth Proportional to 6,538.59, 9,029.25 and 4,184.91

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Solution

The fourth proportional to 6,538.59, 9,029.25 and 4,184.91 is: 5,779.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538.59 : 9,029.25 = 4,184.91 : x
  2. Step 2: Convert to fraction form
    6,538.59/9,029.25 = 4,184.91/x
  3. Step 3: Cross multiply
    6,538.59x = 9,029.25 × 4,184.91
  4. Step 4: Simplify right side
    6,538.59x = 37,786,598.62
  5. Step 5: Solve for x
    x = 37,786,598.62/6,538.59
  6. Step 6: Final answer
    x = 5,779.01

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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.