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Finding the Fourth Proportional to 5,710.38, 7,878.51 and 3,941.34

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Solution

The fourth proportional to 5,710.38, 7,878.51 and 3,941.34 is: 5,437.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,710.38 : 7,878.51 = 3,941.34 : x
  2. Step 2: Convert to fraction form
    5,710.38/7,878.51 = 3,941.34/x
  3. Step 3: Cross multiply
    5,710.38x = 7,878.51 × 3,941.34
  4. Step 4: Simplify right side
    5,710.38x = 31,051,886.60
  5. Step 5: Solve for x
    x = 31,051,886.60/5,710.38
  6. Step 6: Final answer
    x = 5,437.80

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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.