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Finding the Fourth Proportional to 4,709.15, 6,495 and 3,449.76

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Solution

The fourth proportional to 4,709.15, 6,495 and 3,449.76 is: 4,758.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.15 : 6,495 = 3,449.76 : x
  2. Step 2: Convert to fraction form
    4,709.15/6,495 = 3,449.76/x
  3. Step 3: Cross multiply
    4,709.15x = 6,495 × 3,449.76
  4. Step 4: Simplify right side
    4,709.15x = 22,406,191.20
  5. Step 5: Solve for x
    x = 22,406,191.20/4,709.15
  6. Step 6: Final answer
    x = 4,758.02

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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.