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Finding the Fourth Proportional to 4,869.50, 7,300.61 and 1,580.63

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Solution

The fourth proportional to 4,869.50, 7,300.61 and 1,580.63 is: 2,369.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,869.50 : 7,300.61 = 1,580.63 : x
  2. Step 2: Convert to fraction form
    4,869.50/7,300.61 = 1,580.63/x
  3. Step 3: Cross multiply
    4,869.50x = 7,300.61 × 1,580.63
  4. Step 4: Simplify right side
    4,869.50x = 11,539,555.28
  5. Step 5: Solve for x
    x = 11,539,555.28/4,869.50
  6. Step 6: Final answer
    x = 2,369.76

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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.