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Finding the Fourth Proportional to 3,405.23, 4,699.43 and 2,564.45

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Solution

The fourth proportional to 3,405.23, 4,699.43 and 2,564.45 is: 3,539.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.23 : 4,699.43 = 2,564.45 : x
  2. Step 2: Convert to fraction form
    3,405.23/4,699.43 = 2,564.45/x
  3. Step 3: Cross multiply
    3,405.23x = 4,699.43 × 2,564.45
  4. Step 4: Simplify right side
    3,405.23x = 12,051,416.94
  5. Step 5: Solve for x
    x = 12,051,416.94/3,405.23
  6. Step 6: Final answer
    x = 3,539.10

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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.