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Finding the Fourth Proportional to 4,195.69, 6,284.89 and 2,460.13

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Solution

The fourth proportional to 4,195.69, 6,284.89 and 2,460.13 is: 3,685.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,195.69 : 6,284.89 = 2,460.13 : x
  2. Step 2: Convert to fraction form
    4,195.69/6,284.89 = 2,460.13/x
  3. Step 3: Cross multiply
    4,195.69x = 6,284.89 × 2,460.13
  4. Step 4: Simplify right side
    4,195.69x = 15,461,602.71
  5. Step 5: Solve for x
    x = 15,461,602.71/4,195.69
  6. Step 6: Final answer
    x = 3,685.12

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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.