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Finding the Fourth Proportional to 5,698.89, 8,541.93 and 4,307.70

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Solution

The fourth proportional to 5,698.89, 8,541.93 and 4,307.70 is: 6,456.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698.89 : 8,541.93 = 4,307.70 : x
  2. Step 2: Convert to fraction form
    5,698.89/8,541.93 = 4,307.70/x
  3. Step 3: Cross multiply
    5,698.89x = 8,541.93 × 4,307.70
  4. Step 4: Simplify right side
    5,698.89x = 36,796,071.86
  5. Step 5: Solve for x
    x = 36,796,071.86/5,698.89
  6. Step 6: Final answer
    x = 6,456.71

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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.