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Finding the Fourth Proportional to 4,677.71, 7,015.77 and 2,564.10

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Solution

The fourth proportional to 4,677.71, 7,015.77 and 2,564.10 is: 3,845.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677.71 : 7,015.77 = 2,564.10 : x
  2. Step 2: Convert to fraction form
    4,677.71/7,015.77 = 2,564.10/x
  3. Step 3: Cross multiply
    4,677.71x = 7,015.77 × 2,564.10
  4. Step 4: Simplify right side
    4,677.71x = 17,989,135.86
  5. Step 5: Solve for x
    x = 17,989,135.86/4,677.71
  6. Step 6: Final answer
    x = 3,845.72

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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.