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Finding the Fourth Proportional to 4,274.51, 6,407.37 and 3,101.58

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Solution

The fourth proportional to 4,274.51, 6,407.37 and 3,101.58 is: 4,649.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,274.51 : 6,407.37 = 3,101.58 : x
  2. Step 2: Convert to fraction form
    4,274.51/6,407.37 = 3,101.58/x
  3. Step 3: Cross multiply
    4,274.51x = 6,407.37 × 3,101.58
  4. Step 4: Simplify right side
    4,274.51x = 19,872,970.64
  5. Step 5: Solve for x
    x = 19,872,970.64/4,274.51
  6. Step 6: Final answer
    x = 4,649.19

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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.