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Finding the Fourth Proportional to 5,317.06, 7,978.60 and 2,199.38

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Solution

The fourth proportional to 5,317.06, 7,978.60 and 2,199.38 is: 3,300.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,317.06 : 7,978.60 = 2,199.38 : x
  2. Step 2: Convert to fraction form
    5,317.06/7,978.60 = 2,199.38/x
  3. Step 3: Cross multiply
    5,317.06x = 7,978.60 × 2,199.38
  4. Step 4: Simplify right side
    5,317.06x = 17,547,973.27
  5. Step 5: Solve for x
    x = 17,547,973.27/5,317.06
  6. Step 6: Final answer
    x = 3,300.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.