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Finding the Fourth Proportional to 4,652.16, 6,417.84 and 2,858.01

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Solution

The fourth proportional to 4,652.16, 6,417.84 and 2,858.01 is: 3,942.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652.16 : 6,417.84 = 2,858.01 : x
  2. Step 2: Convert to fraction form
    4,652.16/6,417.84 = 2,858.01/x
  3. Step 3: Cross multiply
    4,652.16x = 6,417.84 × 2,858.01
  4. Step 4: Simplify right side
    4,652.16x = 18,342,250.90
  5. Step 5: Solve for x
    x = 18,342,250.90/4,652.16
  6. Step 6: Final answer
    x = 3,942.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.