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Finding the Fourth Proportional to 4,036.69, 5,570.88 and 2,268.30

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Solution

The fourth proportional to 4,036.69, 5,570.88 and 2,268.30 is: 3,130.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,036.69 : 5,570.88 = 2,268.30 : x
  2. Step 2: Convert to fraction form
    4,036.69/5,570.88 = 2,268.30/x
  3. Step 3: Cross multiply
    4,036.69x = 5,570.88 × 2,268.30
  4. Step 4: Simplify right side
    4,036.69x = 12,636,427.10
  5. Step 5: Solve for x
    x = 12,636,427.10/4,036.69
  6. Step 6: Final answer
    x = 3,130.39

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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.