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Finding the Fourth Proportional to 4,768.11, 6,580.58 and 2,999.68

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Solution

The fourth proportional to 4,768.11, 6,580.58 and 2,999.68 is: 4,139.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768.11 : 6,580.58 = 2,999.68 : x
  2. Step 2: Convert to fraction form
    4,768.11/6,580.58 = 2,999.68/x
  3. Step 3: Cross multiply
    4,768.11x = 6,580.58 × 2,999.68
  4. Step 4: Simplify right side
    4,768.11x = 19,739,602.76
  5. Step 5: Solve for x
    x = 19,739,602.76/4,768.11
  6. Step 6: Final answer
    x = 4,139.92

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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.