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Finding the Fourth Proportional to 4,699.02, 7,049.14 and 1,577.69

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Solution

The fourth proportional to 4,699.02, 7,049.14 and 1,577.69 is: 2,366.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,699.02 : 7,049.14 = 1,577.69 : x
  2. Step 2: Convert to fraction form
    4,699.02/7,049.14 = 1,577.69/x
  3. Step 3: Cross multiply
    4,699.02x = 7,049.14 × 1,577.69
  4. Step 4: Simplify right side
    4,699.02x = 11,121,353.81
  5. Step 5: Solve for x
    x = 11,121,353.81/4,699.02
  6. Step 6: Final answer
    x = 2,366.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.