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Finding the Fourth Proportional to 4,567.73, 6,852.31 and 1,935.24

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Solution

The fourth proportional to 4,567.73, 6,852.31 and 1,935.24 is: 2,903.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,567.73 : 6,852.31 = 1,935.24 : x
  2. Step 2: Convert to fraction form
    4,567.73/6,852.31 = 1,935.24/x
  3. Step 3: Cross multiply
    4,567.73x = 6,852.31 × 1,935.24
  4. Step 4: Simplify right side
    4,567.73x = 13,260,864.40
  5. Step 5: Solve for x
    x = 13,260,864.40/4,567.73
  6. Step 6: Final answer
    x = 2,903.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.