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Finding the Fourth Proportional to 5,689.47, 7,846.56 and 3,699.30

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Solution

The fourth proportional to 5,689.47, 7,846.56 and 3,699.30 is: 5,101.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.47 : 7,846.56 = 3,699.30 : x
  2. Step 2: Convert to fraction form
    5,689.47/7,846.56 = 3,699.30/x
  3. Step 3: Cross multiply
    5,689.47x = 7,846.56 × 3,699.30
  4. Step 4: Simplify right side
    5,689.47x = 29,026,779.41
  5. Step 5: Solve for x
    x = 29,026,779.41/5,689.47
  6. Step 6: Final answer
    x = 5,101.84

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