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Finding the Fourth Proportional to 4,294.48, 6,440.76 and 2,101

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Solution

The fourth proportional to 4,294.48, 6,440.76 and 2,101 is: 3,151.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,294.48 : 6,440.76 = 2,101 : x
  2. Step 2: Convert to fraction form
    4,294.48/6,440.76 = 2,101/x
  3. Step 3: Cross multiply
    4,294.48x = 6,440.76 × 2,101
  4. Step 4: Simplify right side
    4,294.48x = 13,532,036.76
  5. Step 5: Solve for x
    x = 13,532,036.76/4,294.48
  6. Step 6: Final answer
    x = 3,151.03

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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.