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Finding the Fourth Proportional to 3,061.64, 4,596.74 and 1,582.12

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Solution

The fourth proportional to 3,061.64, 4,596.74 and 1,582.12 is: 2,375.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,061.64 : 4,596.74 = 1,582.12 : x
  2. Step 2: Convert to fraction form
    3,061.64/4,596.74 = 1,582.12/x
  3. Step 3: Cross multiply
    3,061.64x = 4,596.74 × 1,582.12
  4. Step 4: Simplify right side
    3,061.64x = 7,272,594.29
  5. Step 5: Solve for x
    x = 7,272,594.29/3,061.64
  6. Step 6: Final answer
    x = 2,375.39

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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.