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Finding the Fourth Proportional to 4,606.12, 6,909.16 and 1,319.21

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Solution

The fourth proportional to 4,606.12, 6,909.16 and 1,319.21 is: 1,978.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,606.12 : 6,909.16 = 1,319.21 : x
  2. Step 2: Convert to fraction form
    4,606.12/6,909.16 = 1,319.21/x
  3. Step 3: Cross multiply
    4,606.12x = 6,909.16 × 1,319.21
  4. Step 4: Simplify right side
    4,606.12x = 9,114,670.82
  5. Step 5: Solve for x
    x = 9,114,670.82/4,606.12
  6. Step 6: Final answer
    x = 1,978.82

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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.