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Finding the Fourth Proportional to 5,051.62, 7,577.23 and 1,931.50

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Solution

The fourth proportional to 5,051.62, 7,577.23 and 1,931.50 is: 2,897.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,051.62 : 7,577.23 = 1,931.50 : x
  2. Step 2: Convert to fraction form
    5,051.62/7,577.23 = 1,931.50/x
  3. Step 3: Cross multiply
    5,051.62x = 7,577.23 × 1,931.50
  4. Step 4: Simplify right side
    5,051.62x = 14,635,419.75
  5. Step 5: Solve for x
    x = 14,635,419.75/5,051.62
  6. Step 6: Final answer
    x = 2,897.17

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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.