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Finding the Fourth Proportional to 5,042.80, 7,564.20 and 4,070.80

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Solution

The fourth proportional to 5,042.80, 7,564.20 and 4,070.80 is: 6,106.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,042.80 : 7,564.20 = 4,070.80 : x
  2. Step 2: Convert to fraction form
    5,042.80/7,564.20 = 4,070.80/x
  3. Step 3: Cross multiply
    5,042.80x = 7,564.20 × 4,070.80
  4. Step 4: Simplify right side
    5,042.80x = 30,792,345.36
  5. Step 5: Solve for x
    x = 30,792,345.36/5,042.80
  6. Step 6: Final answer
    x = 6,106.20

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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.