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Finding the Fourth Proportional to 4,665.86, 7,000.41 and 2,070.62

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Solution

The fourth proportional to 4,665.86, 7,000.41 and 2,070.62 is: 3,106.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,665.86 : 7,000.41 = 2,070.62 : x
  2. Step 2: Convert to fraction form
    4,665.86/7,000.41 = 2,070.62/x
  3. Step 3: Cross multiply
    4,665.86x = 7,000.41 × 2,070.62
  4. Step 4: Simplify right side
    4,665.86x = 14,495,188.95
  5. Step 5: Solve for x
    x = 14,495,188.95/4,665.86
  6. Step 6: Final answer
    x = 3,106.65

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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.