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Finding the Fourth Proportional to 4,298.69, 6,437.08 and 2,833.40

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Solution

The fourth proportional to 4,298.69, 6,437.08 and 2,833.40 is: 4,242.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,298.69 : 6,437.08 = 2,833.40 : x
  2. Step 2: Convert to fraction form
    4,298.69/6,437.08 = 2,833.40/x
  3. Step 3: Cross multiply
    4,298.69x = 6,437.08 × 2,833.40
  4. Step 4: Simplify right side
    4,298.69x = 18,238,822.47
  5. Step 5: Solve for x
    x = 18,238,822.47/4,298.69
  6. Step 6: Final answer
    x = 4,242.88

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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.