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Finding the Fourth Proportional to 4,732.25, 7,059.67 and 4,396.64

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Solution

The fourth proportional to 4,732.25, 7,059.67 and 4,396.64 is: 6,559.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,732.25 : 7,059.67 = 4,396.64 : x
  2. Step 2: Convert to fraction form
    4,732.25/7,059.67 = 4,396.64/x
  3. Step 3: Cross multiply
    4,732.25x = 7,059.67 × 4,396.64
  4. Step 4: Simplify right side
    4,732.25x = 31,038,827.51
  5. Step 5: Solve for x
    x = 31,038,827.51/4,732.25
  6. Step 6: Final answer
    x = 6,559.00

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.