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Finding the Fourth Proportional to 4,706.55, 7,061.69 and 2,242.47

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Solution

The fourth proportional to 4,706.55, 7,061.69 and 2,242.47 is: 3,364.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.55 : 7,061.69 = 2,242.47 : x
  2. Step 2: Convert to fraction form
    4,706.55/7,061.69 = 2,242.47/x
  3. Step 3: Cross multiply
    4,706.55x = 7,061.69 × 2,242.47
  4. Step 4: Simplify right side
    4,706.55x = 15,835,616.76
  5. Step 5: Solve for x
    x = 15,835,616.76/4,706.55
  6. Step 6: Final answer
    x = 3,364.59

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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.