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Finding the Fourth Proportional to 5,207.74, 7,809.88 and 1,510.09

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Solution

The fourth proportional to 5,207.74, 7,809.88 and 1,510.09 is: 2,264.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,207.74 : 7,809.88 = 1,510.09 : x
  2. Step 2: Convert to fraction form
    5,207.74/7,809.88 = 1,510.09/x
  3. Step 3: Cross multiply
    5,207.74x = 7,809.88 × 1,510.09
  4. Step 4: Simplify right side
    5,207.74x = 11,793,598.39
  5. Step 5: Solve for x
    x = 11,793,598.39/5,207.74
  6. Step 6: Final answer
    x = 2,264.63

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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.