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Finding the Fourth Proportional to 4,697.91, 7,047.16 and 1,577.67

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Solution

The fourth proportional to 4,697.91, 7,047.16 and 1,577.67 is: 2,366.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,697.91 : 7,047.16 = 1,577.67 : x
  2. Step 2: Convert to fraction form
    4,697.91/7,047.16 = 1,577.67/x
  3. Step 3: Cross multiply
    4,697.91x = 7,047.16 × 1,577.67
  4. Step 4: Simplify right side
    4,697.91x = 11,118,092.92
  5. Step 5: Solve for x
    x = 11,118,092.92/4,697.91
  6. Step 6: Final answer
    x = 2,366.60

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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.