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Finding the Fourth Proportional to 5,300.88, 7,319.85 and 3,314.82

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Solution

The fourth proportional to 5,300.88, 7,319.85 and 3,314.82 is: 4,577.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,300.88 : 7,319.85 = 3,314.82 : x
  2. Step 2: Convert to fraction form
    5,300.88/7,319.85 = 3,314.82/x
  3. Step 3: Cross multiply
    5,300.88x = 7,319.85 × 3,314.82
  4. Step 4: Simplify right side
    5,300.88x = 24,263,985.18
  5. Step 5: Solve for x
    x = 24,263,985.18/5,300.88
  6. Step 6: Final answer
    x = 4,577.35

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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.