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Finding the Fourth Proportional to 5,294.77, 7,920.15 and 4,813.63

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Solution

The fourth proportional to 5,294.77, 7,920.15 and 4,813.63 is: 7,200.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294.77 : 7,920.15 = 4,813.63 : x
  2. Step 2: Convert to fraction form
    5,294.77/7,920.15 = 4,813.63/x
  3. Step 3: Cross multiply
    5,294.77x = 7,920.15 × 4,813.63
  4. Step 4: Simplify right side
    5,294.77x = 38,124,671.64
  5. Step 5: Solve for x
    x = 38,124,671.64/5,294.77
  6. Step 6: Final answer
    x = 7,200.44

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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.