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Finding the Fourth Proportional to 4,643.98, 6,406.54 and 4,113.40

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Solution

The fourth proportional to 4,643.98, 6,406.54 and 4,113.40 is: 5,674.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.98 : 6,406.54 = 4,113.40 : x
  2. Step 2: Convert to fraction form
    4,643.98/6,406.54 = 4,113.40/x
  3. Step 3: Cross multiply
    4,643.98x = 6,406.54 × 4,113.40
  4. Step 4: Simplify right side
    4,643.98x = 26,352,661.64
  5. Step 5: Solve for x
    x = 26,352,661.64/4,643.98
  6. Step 6: Final answer
    x = 5,674.59

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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.