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Finding the Fourth Proportional to 5,702.10, 8,559.55 and 4,409.30

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Solution

The fourth proportional to 5,702.10, 8,559.55 and 4,409.30 is: 6,618.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.10 : 8,559.55 = 4,409.30 : x
  2. Step 2: Convert to fraction form
    5,702.10/8,559.55 = 4,409.30/x
  3. Step 3: Cross multiply
    5,702.10x = 8,559.55 × 4,409.30
  4. Step 4: Simplify right side
    5,702.10x = 37,741,623.82
  5. Step 5: Solve for x
    x = 37,741,623.82/5,702.10
  6. Step 6: Final answer
    x = 6,618.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.