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Finding the Fourth Proportional to 5,002.35, 6,887.10 and 4,116.63

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Solution

The fourth proportional to 5,002.35, 6,887.10 and 4,116.63 is: 5,667.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,002.35 : 6,887.10 = 4,116.63 : x
  2. Step 2: Convert to fraction form
    5,002.35/6,887.10 = 4,116.63/x
  3. Step 3: Cross multiply
    5,002.35x = 6,887.10 × 4,116.63
  4. Step 4: Simplify right side
    5,002.35x = 28,351,642.47
  5. Step 5: Solve for x
    x = 28,351,642.47/5,002.35
  6. Step 6: Final answer
    x = 5,667.66

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