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Finding the Fourth Proportional to 3,604.34, 5,406.05 and 972.05

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Solution

The fourth proportional to 3,604.34, 5,406.05 and 972.05 is: 1,457.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,604.34 : 5,406.05 = 972.05 : x
  2. Step 2: Convert to fraction form
    3,604.34/5,406.05 = 972.05/x
  3. Step 3: Cross multiply
    3,604.34x = 5,406.05 × 972.05
  4. Step 4: Simplify right side
    3,604.34x = 5,254,926.30
  5. Step 5: Solve for x
    x = 5,254,926.30/3,604.34
  6. Step 6: Final answer
    x = 1,457.94

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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.