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Finding the Fourth Proportional to 4,176.01, 5,763.05 and 2,313.01

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Solution

The fourth proportional to 4,176.01, 5,763.05 and 2,313.01 is: 3,192.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,176.01 : 5,763.05 = 2,313.01 : x
  2. Step 2: Convert to fraction form
    4,176.01/5,763.05 = 2,313.01/x
  3. Step 3: Cross multiply
    4,176.01x = 5,763.05 × 2,313.01
  4. Step 4: Simplify right side
    4,176.01x = 13,329,980.72
  5. Step 5: Solve for x
    x = 13,329,980.72/4,176.01
  6. Step 6: Final answer
    x = 3,192.04

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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.