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Finding the Fourth Proportional to 5,071.23, 7,607.25 and 1,560.92

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Solution

The fourth proportional to 5,071.23, 7,607.25 and 1,560.92 is: 2,341.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,071.23 : 7,607.25 = 1,560.92 : x
  2. Step 2: Convert to fraction form
    5,071.23/7,607.25 = 1,560.92/x
  3. Step 3: Cross multiply
    5,071.23x = 7,607.25 × 1,560.92
  4. Step 4: Simplify right side
    5,071.23x = 11,874,270.63
  5. Step 5: Solve for x
    x = 11,874,270.63/5,071.23
  6. Step 6: Final answer
    x = 2,341.50

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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.