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Finding the Fourth Proportional to 4,192.30, 6,276.30 and 4,070.80

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Solution

The fourth proportional to 4,192.30, 6,276.30 and 4,070.80 is: 6,094.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,192.30 : 6,276.30 = 4,070.80 : x
  2. Step 2: Convert to fraction form
    4,192.30/6,276.30 = 4,070.80/x
  3. Step 3: Cross multiply
    4,192.30x = 6,276.30 × 4,070.80
  4. Step 4: Simplify right side
    4,192.30x = 25,549,562.04
  5. Step 5: Solve for x
    x = 25,549,562.04/4,192.30
  6. Step 6: Final answer
    x = 6,094.40

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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.