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Finding the Fourth Proportional to 5,206.68, 7,805.16 and 1,741.50

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Solution

The fourth proportional to 5,206.68, 7,805.16 and 1,741.50 is: 2,610.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.68 : 7,805.16 = 1,741.50 : x
  2. Step 2: Convert to fraction form
    5,206.68/7,805.16 = 1,741.50/x
  3. Step 3: Cross multiply
    5,206.68x = 7,805.16 × 1,741.50
  4. Step 4: Simplify right side
    5,206.68x = 13,592,686.14
  5. Step 5: Solve for x
    x = 13,592,686.14/5,206.68
  6. Step 6: Final answer
    x = 2,610.62

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1.5x scale

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.