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Finding the Fourth Proportional to 3,483.31, 5,225.33 and 1,509.14

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Solution

The fourth proportional to 3,483.31, 5,225.33 and 1,509.14 is: 2,263.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,483.31 : 5,225.33 = 1,509.14 : x
  2. Step 2: Convert to fraction form
    3,483.31/5,225.33 = 1,509.14/x
  3. Step 3: Cross multiply
    3,483.31x = 5,225.33 × 1,509.14
  4. Step 4: Simplify right side
    3,483.31x = 7,885,733.47
  5. Step 5: Solve for x
    x = 7,885,733.47/3,483.31
  6. Step 6: Final answer
    x = 2,263.86

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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.