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Finding the Fourth Proportional to 4,909.86, 7,364.70 and 1,988.10

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Solution

The fourth proportional to 4,909.86, 7,364.70 and 1,988.10 is: 2,982.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,909.86 : 7,364.70 = 1,988.10 : x
  2. Step 2: Convert to fraction form
    4,909.86/7,364.70 = 1,988.10/x
  3. Step 3: Cross multiply
    4,909.86x = 7,364.70 × 1,988.10
  4. Step 4: Simplify right side
    4,909.86x = 14,641,760.07
  5. Step 5: Solve for x
    x = 14,641,760.07/4,909.86
  6. Step 6: Final answer
    x = 2,982.11

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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.