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Finding the Fourth Proportional to 4,725, 7,089.66 and 1,803.06

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Solution

The fourth proportional to 4,725, 7,089.66 and 1,803.06 is: 2,705.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,725 : 7,089.66 = 1,803.06 : x
  2. Step 2: Convert to fraction form
    4,725/7,089.66 = 1,803.06/x
  3. Step 3: Cross multiply
    4,725x = 7,089.66 × 1,803.06
  4. Step 4: Simplify right side
    4,725x = 12,783,082.36
  5. Step 5: Solve for x
    x = 12,783,082.36/4,725
  6. Step 6: Final answer
    x = 2,705.41

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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.