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Finding the Fourth Proportional to 4,737.10, 7,104.57 and 1,404.65

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Solution

The fourth proportional to 4,737.10, 7,104.57 and 1,404.65 is: 2,106.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,737.10 : 7,104.57 = 1,404.65 : x
  2. Step 2: Convert to fraction form
    4,737.10/7,104.57 = 1,404.65/x
  3. Step 3: Cross multiply
    4,737.10x = 7,104.57 × 1,404.65
  4. Step 4: Simplify right side
    4,737.10x = 9,979,434.25
  5. Step 5: Solve for x
    x = 9,979,434.25/4,737.10
  6. Step 6: Final answer
    x = 2,106.65

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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.