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Finding the Fourth Proportional to 4,937.70, 7,411.95 and 3,090.90

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Solution

The fourth proportional to 4,937.70, 7,411.95 and 3,090.90 is: 4,639.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,937.70 : 7,411.95 = 3,090.90 : x
  2. Step 2: Convert to fraction form
    4,937.70/7,411.95 = 3,090.90/x
  3. Step 3: Cross multiply
    4,937.70x = 7,411.95 × 3,090.90
  4. Step 4: Simplify right side
    4,937.70x = 22,909,596.26
  5. Step 5: Solve for x
    x = 22,909,596.26/4,937.70
  6. Step 6: Final answer
    x = 4,639.73

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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.