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Finding the Fourth Proportional to 5,902.16, 8,851.80 and 3,966.08

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Solution

The fourth proportional to 5,902.16, 8,851.80 and 3,966.08 is: 5,948.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902.16 : 8,851.80 = 3,966.08 : x
  2. Step 2: Convert to fraction form
    5,902.16/8,851.80 = 3,966.08/x
  3. Step 3: Cross multiply
    5,902.16x = 8,851.80 × 3,966.08
  4. Step 4: Simplify right side
    5,902.16x = 35,106,946.94
  5. Step 5: Solve for x
    x = 35,106,946.94/5,902.16
  6. Step 6: Final answer
    x = 5,948.15

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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.