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Finding the Fourth Proportional to 5,710.12, 8,573.82 and 5,065

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Solution

The fourth proportional to 5,710.12, 8,573.82 and 5,065 is: 7,605.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,710.12 : 8,573.82 = 5,065 : x
  2. Step 2: Convert to fraction form
    5,710.12/8,573.82 = 5,065/x
  3. Step 3: Cross multiply
    5,710.12x = 8,573.82 × 5,065
  4. Step 4: Simplify right side
    5,710.12x = 43,426,398.30
  5. Step 5: Solve for x
    x = 43,426,398.30/5,710.12
  6. Step 6: Final answer
    x = 7,605.16

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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.