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Finding the Fourth Proportional to 4,176.96, 5,762.25 and 2,407.92

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Solution

The fourth proportional to 4,176.96, 5,762.25 and 2,407.92 is: 3,321.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,176.96 : 5,762.25 = 2,407.92 : x
  2. Step 2: Convert to fraction form
    4,176.96/5,762.25 = 2,407.92/x
  3. Step 3: Cross multiply
    4,176.96x = 5,762.25 × 2,407.92
  4. Step 4: Simplify right side
    4,176.96x = 13,875,037.02
  5. Step 5: Solve for x
    x = 13,875,037.02/4,176.96
  6. Step 6: Final answer
    x = 3,321.80

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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.