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Finding the Fourth Proportional to 3,835.60, 5,756.32 and 2,600.08

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Solution

The fourth proportional to 3,835.60, 5,756.32 and 2,600.08 is: 3,902.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,835.60 : 5,756.32 = 2,600.08 : x
  2. Step 2: Convert to fraction form
    3,835.60/5,756.32 = 2,600.08/x
  3. Step 3: Cross multiply
    3,835.60x = 5,756.32 × 2,600.08
  4. Step 4: Simplify right side
    3,835.60x = 14,966,892.51
  5. Step 5: Solve for x
    x = 14,966,892.51/3,835.60
  6. Step 6: Final answer
    x = 3,902.10

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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.