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Finding the Fourth Proportional to 5,663.98, 8,495.31 and 1,504.31

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Solution

The fourth proportional to 5,663.98, 8,495.31 and 1,504.31 is: 2,256.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,663.98 : 8,495.31 = 1,504.31 : x
  2. Step 2: Convert to fraction form
    5,663.98/8,495.31 = 1,504.31/x
  3. Step 3: Cross multiply
    5,663.98x = 8,495.31 × 1,504.31
  4. Step 4: Simplify right side
    5,663.98x = 12,779,563.53
  5. Step 5: Solve for x
    x = 12,779,563.53/5,663.98
  6. Step 6: Final answer
    x = 2,256.29

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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.