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Finding the Fourth Proportional to 4,705.62, 7,063.53 and 3,538.95

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Solution

The fourth proportional to 4,705.62, 7,063.53 and 3,538.95 is: 5,312.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,705.62 : 7,063.53 = 3,538.95 : x
  2. Step 2: Convert to fraction form
    4,705.62/7,063.53 = 3,538.95/x
  3. Step 3: Cross multiply
    4,705.62x = 7,063.53 × 3,538.95
  4. Step 4: Simplify right side
    4,705.62x = 24,997,444.18
  5. Step 5: Solve for x
    x = 24,997,444.18/4,705.62
  6. Step 6: Final answer
    x = 5,312.26

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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.