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Finding the Fourth Proportional to 4,166.64, 5,752.62 and 2,596.86

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Solution

The fourth proportional to 4,166.64, 5,752.62 and 2,596.86 is: 3,585.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166.64 : 5,752.62 = 2,596.86 : x
  2. Step 2: Convert to fraction form
    4,166.64/5,752.62 = 2,596.86/x
  3. Step 3: Cross multiply
    4,166.64x = 5,752.62 × 2,596.86
  4. Step 4: Simplify right side
    4,166.64x = 14,938,748.77
  5. Step 5: Solve for x
    x = 14,938,748.77/4,166.64
  6. Step 6: Final answer
    x = 3,585.32

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Why These Related Problems?

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