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Finding the Fourth Proportional to 3,506.02, 5,259.10 and 908.88

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Solution

The fourth proportional to 3,506.02, 5,259.10 and 908.88 is: 1,363.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.02 : 5,259.10 = 908.88 : x
  2. Step 2: Convert to fraction form
    3,506.02/5,259.10 = 908.88/x
  3. Step 3: Cross multiply
    3,506.02x = 5,259.10 × 908.88
  4. Step 4: Simplify right side
    3,506.02x = 4,779,890.81
  5. Step 5: Solve for x
    x = 4,779,890.81/3,506.02
  6. Step 6: Final answer
    x = 1,363.34

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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.