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Finding the Fourth Proportional to 5,157.08, 7,735.61 and 1,870.16

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Solution

The fourth proportional to 5,157.08, 7,735.61 and 1,870.16 is: 2,805.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,157.08 : 7,735.61 = 1,870.16 : x
  2. Step 2: Convert to fraction form
    5,157.08/7,735.61 = 1,870.16/x
  3. Step 3: Cross multiply
    5,157.08x = 7,735.61 × 1,870.16
  4. Step 4: Simplify right side
    5,157.08x = 14,466,819.05
  5. Step 5: Solve for x
    x = 14,466,819.05/5,157.08
  6. Step 6: Final answer
    x = 2,805.24

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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.