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Finding the Fourth Proportional to 7,059.39, 9,741.57 and 3,915.38

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Solution

The fourth proportional to 7,059.39, 9,741.57 and 3,915.38 is: 5,403.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,059.39 : 9,741.57 = 3,915.38 : x
  2. Step 2: Convert to fraction form
    7,059.39/9,741.57 = 3,915.38/x
  3. Step 3: Cross multiply
    7,059.39x = 9,741.57 × 3,915.38
  4. Step 4: Simplify right side
    7,059.39x = 38,141,899.64
  5. Step 5: Solve for x
    x = 38,141,899.64/7,059.39
  6. Step 6: Final answer
    x = 5,403.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.