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Finding the Fourth Proportional to 5,252.96, 7,869.60 and 4,712

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Solution

The fourth proportional to 5,252.96, 7,869.60 and 4,712 is: 7,059.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,252.96 : 7,869.60 = 4,712 : x
  2. Step 2: Convert to fraction form
    5,252.96/7,869.60 = 4,712/x
  3. Step 3: Cross multiply
    5,252.96x = 7,869.60 × 4,712
  4. Step 4: Simplify right side
    5,252.96x = 37,081,555.20
  5. Step 5: Solve for x
    x = 37,081,555.20/5,252.96
  6. Step 6: Final answer
    x = 7,059.17

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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.