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Finding the Fourth Proportional to 5,758.42, 7,941.18 and 5,328.88

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Solution

The fourth proportional to 5,758.42, 7,941.18 and 5,328.88 is: 7,348.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,758.42 : 7,941.18 = 5,328.88 : x
  2. Step 2: Convert to fraction form
    5,758.42/7,941.18 = 5,328.88/x
  3. Step 3: Cross multiply
    5,758.42x = 7,941.18 × 5,328.88
  4. Step 4: Simplify right side
    5,758.42x = 42,317,595.28
  5. Step 5: Solve for x
    x = 42,317,595.28/5,758.42
  6. Step 6: Final answer
    x = 7,348.82

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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.