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Finding the Fourth Proportional to 3,030.87, 4,545.80 and 839.82

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Solution

The fourth proportional to 3,030.87, 4,545.80 and 839.82 is: 1,259.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,030.87 : 4,545.80 = 839.82 : x
  2. Step 2: Convert to fraction form
    3,030.87/4,545.80 = 839.82/x
  3. Step 3: Cross multiply
    3,030.87x = 4,545.80 × 839.82
  4. Step 4: Simplify right side
    3,030.87x = 3,817,653.76
  5. Step 5: Solve for x
    x = 3,817,653.76/3,030.87
  6. Step 6: Final answer
    x = 1,259.59

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Why These Related Problems?

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