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Finding the Fourth Proportional to 3,558.90, 4,911.50 and 1,987.10

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Solution

The fourth proportional to 3,558.90, 4,911.50 and 1,987.10 is: 2,742.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,558.90 : 4,911.50 = 1,987.10 : x
  2. Step 2: Convert to fraction form
    3,558.90/4,911.50 = 1,987.10/x
  3. Step 3: Cross multiply
    3,558.90x = 4,911.50 × 1,987.10
  4. Step 4: Simplify right side
    3,558.90x = 9,759,641.65
  5. Step 5: Solve for x
    x = 9,759,641.65/3,558.90
  6. Step 6: Final answer
    x = 2,742.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.