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Finding the Fourth Proportional to 3,141.93, 4,712.36 and 1,582.63

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Solution

The fourth proportional to 3,141.93, 4,712.36 and 1,582.63 is: 2,373.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.93 : 4,712.36 = 1,582.63 : x
  2. Step 2: Convert to fraction form
    3,141.93/4,712.36 = 1,582.63/x
  3. Step 3: Cross multiply
    3,141.93x = 4,712.36 × 1,582.63
  4. Step 4: Simplify right side
    3,141.93x = 7,457,922.31
  5. Step 5: Solve for x
    x = 7,457,922.31/3,141.93
  6. Step 6: Final answer
    x = 2,373.68

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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.