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Finding the Fourth Proportional to 4,706.48, 7,056.48 and 2,733.32

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Solution

The fourth proportional to 4,706.48, 7,056.48 and 2,733.32 is: 4,098.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.48 : 7,056.48 = 2,733.32 : x
  2. Step 2: Convert to fraction form
    4,706.48/7,056.48 = 2,733.32/x
  3. Step 3: Cross multiply
    4,706.48x = 7,056.48 × 2,733.32
  4. Step 4: Simplify right side
    4,706.48x = 19,287,617.91
  5. Step 5: Solve for x
    x = 19,287,617.91/4,706.48
  6. Step 6: Final answer
    x = 4,098.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.