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Finding the Fourth Proportional to 4,643.07, 6,408.98 and 4,151.00

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Solution

The fourth proportional to 4,643.07, 6,408.98 and 4,151.00 is: 5,729.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.07 : 6,408.98 = 4,151.00 : x
  2. Step 2: Convert to fraction form
    4,643.07/6,408.98 = 4,151.00/x
  3. Step 3: Cross multiply
    4,643.07x = 6,408.98 × 4,151.00
  4. Step 4: Simplify right side
    4,643.07x = 26,603,623.18
  5. Step 5: Solve for x
    x = 26,603,623.18/4,643.07
  6. Step 6: Final answer
    x = 5,729.75

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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.