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Finding the Fourth Proportional to 5,151, 7,109.34 and 3,055.08

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Solution

The fourth proportional to 5,151, 7,109.34 and 3,055.08 is: 4,216.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,151 : 7,109.34 = 3,055.08 : x
  2. Step 2: Convert to fraction form
    5,151/7,109.34 = 3,055.08/x
  3. Step 3: Cross multiply
    5,151x = 7,109.34 × 3,055.08
  4. Step 4: Simplify right side
    5,151x = 21,719,602.45
  5. Step 5: Solve for x
    x = 21,719,602.45/5,151
  6. Step 6: Final answer
    x = 4,216.58

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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.