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Finding the Fourth Proportional to 5,756.66, 7,937.95 and 5,003.96

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Solution

The fourth proportional to 5,756.66, 7,937.95 and 5,003.96 is: 6,900.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,756.66 : 7,937.95 = 5,003.96 : x
  2. Step 2: Convert to fraction form
    5,756.66/7,937.95 = 5,003.96/x
  3. Step 3: Cross multiply
    5,756.66x = 7,937.95 × 5,003.96
  4. Step 4: Simplify right side
    5,756.66x = 39,721,159.26
  5. Step 5: Solve for x
    x = 39,721,159.26/5,756.66
  6. Step 6: Final answer
    x = 6,900.04

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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.