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Finding the Fourth Proportional to 5,948.56, 8,922.12 and 1,566.35

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Solution

The fourth proportional to 5,948.56, 8,922.12 and 1,566.35 is: 2,349.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,948.56 : 8,922.12 = 1,566.35 : x
  2. Step 2: Convert to fraction form
    5,948.56/8,922.12 = 1,566.35/x
  3. Step 3: Cross multiply
    5,948.56x = 8,922.12 × 1,566.35
  4. Step 4: Simplify right side
    5,948.56x = 13,975,162.66
  5. Step 5: Solve for x
    x = 13,975,162.66/5,948.56
  6. Step 6: Final answer
    x = 2,349.34

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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.