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Finding the Fourth Proportional to 5,087.63, 7,625.07 and 2,897.60

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Solution

The fourth proportional to 5,087.63, 7,625.07 and 2,897.60 is: 4,342.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,087.63 : 7,625.07 = 2,897.60 : x
  2. Step 2: Convert to fraction form
    5,087.63/7,625.07 = 2,897.60/x
  3. Step 3: Cross multiply
    5,087.63x = 7,625.07 × 2,897.60
  4. Step 4: Simplify right side
    5,087.63x = 22,094,364.71
  5. Step 5: Solve for x
    x = 22,094,364.71/5,087.63
  6. Step 6: Final answer
    x = 4,342.76

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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.