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Finding the Fourth Proportional to 4,589.84, 6,897.72 and 4,434.32

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Solution

The fourth proportional to 4,589.84, 6,897.72 and 4,434.32 is: 6,664.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,589.84 : 6,897.72 = 4,434.32 : x
  2. Step 2: Convert to fraction form
    4,589.84/6,897.72 = 4,434.32/x
  3. Step 3: Cross multiply
    4,589.84x = 6,897.72 × 4,434.32
  4. Step 4: Simplify right side
    4,589.84x = 30,586,697.75
  5. Step 5: Solve for x
    x = 30,586,697.75/4,589.84
  6. Step 6: Final answer
    x = 6,664.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.