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Finding the Fourth Proportional to 4,342.26, 6,513.99 and 1,419.98

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Solution

The fourth proportional to 4,342.26, 6,513.99 and 1,419.98 is: 2,130.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,342.26 : 6,513.99 = 1,419.98 : x
  2. Step 2: Convert to fraction form
    4,342.26/6,513.99 = 1,419.98/x
  3. Step 3: Cross multiply
    4,342.26x = 6,513.99 × 1,419.98
  4. Step 4: Simplify right side
    4,342.26x = 9,249,719.24
  5. Step 5: Solve for x
    x = 9,249,719.24/4,342.26
  6. Step 6: Final answer
    x = 2,130.16

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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.