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Finding the Fourth Proportional to 5,006.24, 7,509.80 and 1,308.45

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Solution

The fourth proportional to 5,006.24, 7,509.80 and 1,308.45 is: 1,962.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,006.24 : 7,509.80 = 1,308.45 : x
  2. Step 2: Convert to fraction form
    5,006.24/7,509.80 = 1,308.45/x
  3. Step 3: Cross multiply
    5,006.24x = 7,509.80 × 1,308.45
  4. Step 4: Simplify right side
    5,006.24x = 9,826,221.88
  5. Step 5: Solve for x
    x = 9,826,221.88/5,006.24
  6. Step 6: Final answer
    x = 1,962.80

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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.