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Finding the Fourth Proportional to 5,287.78, 7,931.06 and 1,392.50

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Solution

The fourth proportional to 5,287.78, 7,931.06 and 1,392.50 is: 2,088.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,287.78 : 7,931.06 = 1,392.50 : x
  2. Step 2: Convert to fraction form
    5,287.78/7,931.06 = 1,392.50/x
  3. Step 3: Cross multiply
    5,287.78x = 7,931.06 × 1,392.50
  4. Step 4: Simplify right side
    5,287.78x = 11,044,001.05
  5. Step 5: Solve for x
    x = 11,044,001.05/5,287.78
  6. Step 6: Final answer
    x = 2,088.59

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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.