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Finding the Fourth Proportional to 3,709.30, 5,563.59 and 973.30

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Solution

The fourth proportional to 3,709.30, 5,563.59 and 973.30 is: 1,459.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.30 : 5,563.59 = 973.30 : x
  2. Step 2: Convert to fraction form
    3,709.30/5,563.59 = 973.30/x
  3. Step 3: Cross multiply
    3,709.30x = 5,563.59 × 973.30
  4. Step 4: Simplify right side
    3,709.30x = 5,415,042.15
  5. Step 5: Solve for x
    x = 5,415,042.15/3,709.30
  6. Step 6: Final answer
    x = 1,459.86

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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.