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Finding the Fourth Proportional to 4,810.32, 6,643.08 and 4,143.42

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Solution

The fourth proportional to 4,810.32, 6,643.08 and 4,143.42 is: 5,722.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,810.32 : 6,643.08 = 4,143.42 : x
  2. Step 2: Convert to fraction form
    4,810.32/6,643.08 = 4,143.42/x
  3. Step 3: Cross multiply
    4,810.32x = 6,643.08 × 4,143.42
  4. Step 4: Simplify right side
    4,810.32x = 27,525,070.53
  5. Step 5: Solve for x
    x = 27,525,070.53/4,810.32
  6. Step 6: Final answer
    x = 5,722.09

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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.