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Finding the Fourth Proportional to 4,522, 6,785.56 and 2,090

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Solution

The fourth proportional to 4,522, 6,785.56 and 2,090 is: 3,136.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,522 : 6,785.56 = 2,090 : x
  2. Step 2: Convert to fraction form
    4,522/6,785.56 = 2,090/x
  3. Step 3: Cross multiply
    4,522x = 6,785.56 × 2,090
  4. Step 4: Simplify right side
    4,522x = 14,181,820.40
  5. Step 5: Solve for x
    x = 14,181,820.40/4,522
  6. Step 6: Final answer
    x = 3,136.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.