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Finding the Fourth Proportional to 4,294.34, 6,440.63 and 1,521.10

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Solution

The fourth proportional to 4,294.34, 6,440.63 and 1,521.10 is: 2,281.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,294.34 : 6,440.63 = 1,521.10 : x
  2. Step 2: Convert to fraction form
    4,294.34/6,440.63 = 1,521.10/x
  3. Step 3: Cross multiply
    4,294.34x = 6,440.63 × 1,521.10
  4. Step 4: Simplify right side
    4,294.34x = 9,796,842.29
  5. Step 5: Solve for x
    x = 9,796,842.29/4,294.34
  6. Step 6: Final answer
    x = 2,281.34

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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.