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Finding the Fourth Proportional to 5,101.80, 7,650.54 and 1,937.16

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Solution

The fourth proportional to 5,101.80, 7,650.54 and 1,937.16 is: 2,904.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,101.80 : 7,650.54 = 1,937.16 : x
  2. Step 2: Convert to fraction form
    5,101.80/7,650.54 = 1,937.16/x
  3. Step 3: Cross multiply
    5,101.80x = 7,650.54 × 1,937.16
  4. Step 4: Simplify right side
    5,101.80x = 14,820,320.07
  5. Step 5: Solve for x
    x = 14,820,320.07/5,101.80
  6. Step 6: Final answer
    x = 2,904.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.