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Finding the Fourth Proportional to 4,167.86, 5,752.30 and 2,596.46

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Solution

The fourth proportional to 4,167.86, 5,752.30 and 2,596.46 is: 3,583.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,167.86 : 5,752.30 = 2,596.46 : x
  2. Step 2: Convert to fraction form
    4,167.86/5,752.30 = 2,596.46/x
  3. Step 3: Cross multiply
    4,167.86x = 5,752.30 × 2,596.46
  4. Step 4: Simplify right side
    4,167.86x = 14,935,616.86
  5. Step 5: Solve for x
    x = 14,935,616.86/4,167.86
  6. Step 6: Final answer
    x = 3,583.52

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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.