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Finding the Fourth Proportional to 4,706.74, 6,492.09 and 2,937.70

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Solution

The fourth proportional to 4,706.74, 6,492.09 and 2,937.70 is: 4,052.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.74 : 6,492.09 = 2,937.70 : x
  2. Step 2: Convert to fraction form
    4,706.74/6,492.09 = 2,937.70/x
  3. Step 3: Cross multiply
    4,706.74x = 6,492.09 × 2,937.70
  4. Step 4: Simplify right side
    4,706.74x = 19,071,812.79
  5. Step 5: Solve for x
    x = 19,071,812.79/4,706.74
  6. Step 6: Final answer
    x = 4,052.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.