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Finding the Fourth Proportional to 4,167.16, 5,752.50 and 2,596.28

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Solution

The fourth proportional to 4,167.16, 5,752.50 and 2,596.28 is: 3,584.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,167.16 : 5,752.50 = 2,596.28 : x
  2. Step 2: Convert to fraction form
    4,167.16/5,752.50 = 2,596.28/x
  3. Step 3: Cross multiply
    4,167.16x = 5,752.50 × 2,596.28
  4. Step 4: Simplify right side
    4,167.16x = 14,935,100.70
  5. Step 5: Solve for x
    x = 14,935,100.70/4,167.16
  6. Step 6: Final answer
    x = 3,584.00

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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.