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Finding the Fourth Proportional to 6,559.72, 9,052.18 and 3,575.50

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Solution

The fourth proportional to 6,559.72, 9,052.18 and 3,575.50 is: 4,934.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,559.72 : 9,052.18 = 3,575.50 : x
  2. Step 2: Convert to fraction form
    6,559.72/9,052.18 = 3,575.50/x
  3. Step 3: Cross multiply
    6,559.72x = 9,052.18 × 3,575.50
  4. Step 4: Simplify right side
    6,559.72x = 32,366,038.02
  5. Step 5: Solve for x
    x = 32,366,038.02/6,559.72
  6. Step 6: Final answer
    x = 4,934.06

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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.