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Finding the Fourth Proportional to 5,567.94, 7,670.57 and 3,886.38

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Solution

The fourth proportional to 5,567.94, 7,670.57 and 3,886.38 is: 5,354.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,567.94 : 7,670.57 = 3,886.38 : x
  2. Step 2: Convert to fraction form
    5,567.94/7,670.57 = 3,886.38/x
  3. Step 3: Cross multiply
    5,567.94x = 7,670.57 × 3,886.38
  4. Step 4: Simplify right side
    5,567.94x = 29,810,730.40
  5. Step 5: Solve for x
    x = 29,810,730.40/5,567.94
  6. Step 6: Final answer
    x = 5,354.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.