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Finding the Fourth Proportional to 4,737.84, 7,106.80 and 3,104.77

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Solution

The fourth proportional to 4,737.84, 7,106.80 and 3,104.77 is: 4,657.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,737.84 : 7,106.80 = 3,104.77 : x
  2. Step 2: Convert to fraction form
    4,737.84/7,106.80 = 3,104.77/x
  3. Step 3: Cross multiply
    4,737.84x = 7,106.80 × 3,104.77
  4. Step 4: Simplify right side
    4,737.84x = 22,064,943.90
  5. Step 5: Solve for x
    x = 22,064,943.90/4,737.84
  6. Step 6: Final answer
    x = 4,657.18

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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.