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Finding the Fourth Proportional to 5,140, 7,709.32 and 2,017.88

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Solution

The fourth proportional to 5,140, 7,709.32 and 2,017.88 is: 3,026.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,140 : 7,709.32 = 2,017.88 : x
  2. Step 2: Convert to fraction form
    5,140/7,709.32 = 2,017.88/x
  3. Step 3: Cross multiply
    5,140x = 7,709.32 × 2,017.88
  4. Step 4: Simplify right side
    5,140x = 15,556,482.64
  5. Step 5: Solve for x
    x = 15,556,482.64/5,140
  6. Step 6: Final answer
    x = 3,026.55

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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.