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Finding the Fourth Proportional to 4,706.26, 7,053.85 and 1,931.56

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Solution

The fourth proportional to 4,706.26, 7,053.85 and 1,931.56 is: 2,895.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.26 : 7,053.85 = 1,931.56 : x
  2. Step 2: Convert to fraction form
    4,706.26/7,053.85 = 1,931.56/x
  3. Step 3: Cross multiply
    4,706.26x = 7,053.85 × 1,931.56
  4. Step 4: Simplify right side
    4,706.26x = 13,624,934.51
  5. Step 5: Solve for x
    x = 13,624,934.51/4,706.26
  6. Step 6: Final answer
    x = 2,895.07

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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.