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Finding the Fourth Proportional to 4,357.84, 6,536.73 and 1,585.14

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Solution

The fourth proportional to 4,357.84, 6,536.73 and 1,585.14 is: 2,377.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,357.84 : 6,536.73 = 1,585.14 : x
  2. Step 2: Convert to fraction form
    4,357.84/6,536.73 = 1,585.14/x
  3. Step 3: Cross multiply
    4,357.84x = 6,536.73 × 1,585.14
  4. Step 4: Simplify right side
    4,357.84x = 10,361,632.19
  5. Step 5: Solve for x
    x = 10,361,632.19/4,357.84
  6. Step 6: Final answer
    x = 2,377.70

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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.