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Finding the Fourth Proportional to 4,640.02, 6,400.01 and 2,870.57

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Solution

The fourth proportional to 4,640.02, 6,400.01 and 2,870.57 is: 3,959.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640.02 : 6,400.01 = 2,870.57 : x
  2. Step 2: Convert to fraction form
    4,640.02/6,400.01 = 2,870.57/x
  3. Step 3: Cross multiply
    4,640.02x = 6,400.01 × 2,870.57
  4. Step 4: Simplify right side
    4,640.02x = 18,371,699.88
  5. Step 5: Solve for x
    x = 18,371,699.88/4,640.02
  6. Step 6: Final answer
    x = 3,959.40

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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.