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Finding the Fourth Proportional to 5,100.51, 7,657.25 and 4,335.87

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Solution

The fourth proportional to 5,100.51, 7,657.25 and 4,335.87 is: 6,509.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,100.51 : 7,657.25 = 4,335.87 : x
  2. Step 2: Convert to fraction form
    5,100.51/7,657.25 = 4,335.87/x
  3. Step 3: Cross multiply
    5,100.51x = 7,657.25 × 4,335.87
  4. Step 4: Simplify right side
    5,100.51x = 33,200,818.88
  5. Step 5: Solve for x
    x = 33,200,818.88/5,100.51
  6. Step 6: Final answer
    x = 6,509.31

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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.