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Finding the Fourth Proportional to 4,294.98, 6,440 and 2,291.20

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Solution

The fourth proportional to 4,294.98, 6,440 and 2,291.20 is: 3,435.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,294.98 : 6,440 = 2,291.20 : x
  2. Step 2: Convert to fraction form
    4,294.98/6,440 = 2,291.20/x
  3. Step 3: Cross multiply
    4,294.98x = 6,440 × 2,291.20
  4. Step 4: Simplify right side
    4,294.98x = 14,755,328.00
  5. Step 5: Solve for x
    x = 14,755,328.00/4,294.98
  6. Step 6: Final answer
    x = 3,435.48

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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.