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Finding the Fourth Proportional to 4,600.60, 6,862.63 and 4,157.72

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Solution

The fourth proportional to 4,600.60, 6,862.63 and 4,157.72 is: 6,201.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600.60 : 6,862.63 = 4,157.72 : x
  2. Step 2: Convert to fraction form
    4,600.60/6,862.63 = 4,157.72/x
  3. Step 3: Cross multiply
    4,600.60x = 6,862.63 × 4,157.72
  4. Step 4: Simplify right side
    4,600.60x = 28,532,894.00
  5. Step 5: Solve for x
    x = 28,532,894.00/4,600.60
  6. Step 6: Final answer
    x = 6,201.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.