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Finding the Fourth Proportional to 5,752.12, 7,941.86 and 4,405.35

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Solution

The fourth proportional to 5,752.12, 7,941.86 and 4,405.35 is: 6,082.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,752.12 : 7,941.86 = 4,405.35 : x
  2. Step 2: Convert to fraction form
    5,752.12/7,941.86 = 4,405.35/x
  3. Step 3: Cross multiply
    5,752.12x = 7,941.86 × 4,405.35
  4. Step 4: Simplify right side
    5,752.12x = 34,986,702.01
  5. Step 5: Solve for x
    x = 34,986,702.01/5,752.12
  6. Step 6: Final answer
    x = 6,082.40

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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.