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Finding the Fourth Proportional to 4,200.30, 6,307.65 and 4,070.70

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Solution

The fourth proportional to 4,200.30, 6,307.65 and 4,070.70 is: 6,113.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200.30 : 6,307.65 = 4,070.70 : x
  2. Step 2: Convert to fraction form
    4,200.30/6,307.65 = 4,070.70/x
  3. Step 3: Cross multiply
    4,200.30x = 6,307.65 × 4,070.70
  4. Step 4: Simplify right side
    4,200.30x = 25,676,550.86
  5. Step 5: Solve for x
    x = 25,676,550.86/4,200.30
  6. Step 6: Final answer
    x = 6,113.03

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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.