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Finding the Fourth Proportional to 4,210.68, 6,316.06 and 1,613

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Solution

The fourth proportional to 4,210.68, 6,316.06 and 1,613 is: 2,419.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,210.68 : 6,316.06 = 1,613 : x
  2. Step 2: Convert to fraction form
    4,210.68/6,316.06 = 1,613/x
  3. Step 3: Cross multiply
    4,210.68x = 6,316.06 × 1,613
  4. Step 4: Simplify right side
    4,210.68x = 10,187,804.78
  5. Step 5: Solve for x
    x = 10,187,804.78/4,210.68
  6. Step 6: Final answer
    x = 2,419.52

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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.