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Finding the Fourth Proportional to 4,657.47, 6,986.70 and 1,536.57

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Solution

The fourth proportional to 4,657.47, 6,986.70 and 1,536.57 is: 2,305.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.47 : 6,986.70 = 1,536.57 : x
  2. Step 2: Convert to fraction form
    4,657.47/6,986.70 = 1,536.57/x
  3. Step 3: Cross multiply
    4,657.47x = 6,986.70 × 1,536.57
  4. Step 4: Simplify right side
    4,657.47x = 10,735,553.62
  5. Step 5: Solve for x
    x = 10,735,553.62/4,657.47
  6. Step 6: Final answer
    x = 2,305.02

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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.