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Finding the Fourth Proportional to 4,706.12, 7,064.28 and 3,539.45

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Solution

The fourth proportional to 4,706.12, 7,064.28 and 3,539.45 is: 5,313.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.12 : 7,064.28 = 3,539.45 : x
  2. Step 2: Convert to fraction form
    4,706.12/7,064.28 = 3,539.45/x
  3. Step 3: Cross multiply
    4,706.12x = 7,064.28 × 3,539.45
  4. Step 4: Simplify right side
    4,706.12x = 25,003,630.52
  5. Step 5: Solve for x
    x = 25,003,630.52/4,706.12
  6. Step 6: Final answer
    x = 5,313.01

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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.