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Finding the Fourth Proportional to 5,166.32, 7,129.10 and 3,041.93

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Solution

The fourth proportional to 5,166.32, 7,129.10 and 3,041.93 is: 4,197.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,166.32 : 7,129.10 = 3,041.93 : x
  2. Step 2: Convert to fraction form
    5,166.32/7,129.10 = 3,041.93/x
  3. Step 3: Cross multiply
    5,166.32x = 7,129.10 × 3,041.93
  4. Step 4: Simplify right side
    5,166.32x = 21,686,248.59
  5. Step 5: Solve for x
    x = 21,686,248.59/5,166.32
  6. Step 6: Final answer
    x = 4,197.62

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