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Finding the Fourth Proportional to 5,649.30, 7,798.76 and 3,972.16

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Solution

The fourth proportional to 5,649.30, 7,798.76 and 3,972.16 is: 5,483.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,649.30 : 7,798.76 = 3,972.16 : x
  2. Step 2: Convert to fraction form
    5,649.30/7,798.76 = 3,972.16/x
  3. Step 3: Cross multiply
    5,649.30x = 7,798.76 × 3,972.16
  4. Step 4: Simplify right side
    5,649.30x = 30,977,922.52
  5. Step 5: Solve for x
    x = 30,977,922.52/5,649.30
  6. Step 6: Final answer
    x = 5,483.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.