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Finding the Fourth Proportional to 4,643.34, 6,410.79 and 4,145.13

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Solution

The fourth proportional to 4,643.34, 6,410.79 and 4,145.13 is: 5,722.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.34 : 6,410.79 = 4,145.13 : x
  2. Step 2: Convert to fraction form
    4,643.34/6,410.79 = 4,145.13/x
  3. Step 3: Cross multiply
    4,643.34x = 6,410.79 × 4,145.13
  4. Step 4: Simplify right side
    4,643.34x = 26,573,557.95
  5. Step 5: Solve for x
    x = 26,573,557.95/4,643.34
  6. Step 6: Final answer
    x = 5,722.94

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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.