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Finding the Fourth Proportional to 4,596.35, 6,895.13 and 4,538.03

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Solution

The fourth proportional to 4,596.35, 6,895.13 and 4,538.03 is: 6,807.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596.35 : 6,895.13 = 4,538.03 : x
  2. Step 2: Convert to fraction form
    4,596.35/6,895.13 = 4,538.03/x
  3. Step 3: Cross multiply
    4,596.35x = 6,895.13 × 4,538.03
  4. Step 4: Simplify right side
    4,596.35x = 31,290,249.63
  5. Step 5: Solve for x
    x = 31,290,249.63/4,596.35
  6. Step 6: Final answer
    x = 6,807.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.