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Finding the Fourth Proportional to 4,731.48, 7,098.84 and 4,044.60

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Solution

The fourth proportional to 4,731.48, 7,098.84 and 4,044.60 is: 6,068.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,731.48 : 7,098.84 = 4,044.60 : x
  2. Step 2: Convert to fraction form
    4,731.48/7,098.84 = 4,044.60/x
  3. Step 3: Cross multiply
    4,731.48x = 7,098.84 × 4,044.60
  4. Step 4: Simplify right side
    4,731.48x = 28,711,968.26
  5. Step 5: Solve for x
    x = 28,711,968.26/4,731.48
  6. Step 6: Final answer
    x = 6,068.28

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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.