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Finding the Fourth Proportional to 4,567.64, 6,852.17 and 1,935.15

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Solution

The fourth proportional to 4,567.64, 6,852.17 and 1,935.15 is: 2,903.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,567.64 : 6,852.17 = 1,935.15 : x
  2. Step 2: Convert to fraction form
    4,567.64/6,852.17 = 1,935.15/x
  3. Step 3: Cross multiply
    4,567.64x = 6,852.17 × 1,935.15
  4. Step 4: Simplify right side
    4,567.64x = 13,259,959.65
  5. Step 5: Solve for x
    x = 13,259,959.65/4,567.64
  6. Step 6: Final answer
    x = 2,903.03

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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.