Home / 5,730.56-8,590.72-2,080

Finding the Fourth Proportional to 5,730.56, 8,590.72 and 2,080

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Solution

The fourth proportional to 5,730.56, 8,590.72 and 2,080 is: 3,118.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,730.56 : 8,590.72 = 2,080 : x
  2. Step 2: Convert to fraction form
    5,730.56/8,590.72 = 2,080/x
  3. Step 3: Cross multiply
    5,730.56x = 8,590.72 × 2,080
  4. Step 4: Simplify right side
    5,730.56x = 17,868,697.60
  5. Step 5: Solve for x
    x = 17,868,697.60/5,730.56
  6. Step 6: Final answer
    x = 3,118.14

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Why These Related Problems?

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