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Finding the Fourth Proportional to 4,166.16, 5,751.12 and 2,595.28

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Solution

The fourth proportional to 4,166.16, 5,751.12 and 2,595.28 is: 3,582.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166.16 : 5,751.12 = 2,595.28 : x
  2. Step 2: Convert to fraction form
    4,166.16/5,751.12 = 2,595.28/x
  3. Step 3: Cross multiply
    4,166.16x = 5,751.12 × 2,595.28
  4. Step 4: Simplify right side
    4,166.16x = 14,925,766.71
  5. Step 5: Solve for x
    x = 14,925,766.71/4,166.16
  6. Step 6: Final answer
    x = 3,582.62

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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.