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Finding the Fourth Proportional to 5,776, 7,967.16 and 3,416.50

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Solution

The fourth proportional to 5,776, 7,967.16 and 3,416.50 is: 4,712.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,776 : 7,967.16 = 3,416.50 : x
  2. Step 2: Convert to fraction form
    5,776/7,967.16 = 3,416.50/x
  3. Step 3: Cross multiply
    5,776x = 7,967.16 × 3,416.50
  4. Step 4: Simplify right side
    5,776x = 27,219,802.14
  5. Step 5: Solve for x
    x = 27,219,802.14/5,776
  6. Step 6: Final answer
    x = 4,712.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.