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Finding the Fourth Proportional to 5,730.09, 8,526.52 and 5,710.65

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Solution

The fourth proportional to 5,730.09, 8,526.52 and 5,710.65 is: 8,497.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,730.09 : 8,526.52 = 5,710.65 : x
  2. Step 2: Convert to fraction form
    5,730.09/8,526.52 = 5,710.65/x
  3. Step 3: Cross multiply
    5,730.09x = 8,526.52 × 5,710.65
  4. Step 4: Simplify right side
    5,730.09x = 48,691,971.44
  5. Step 5: Solve for x
    x = 48,691,971.44/5,730.09
  6. Step 6: Final answer
    x = 8,497.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.