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Finding the Fourth Proportional to 3,588, 4,907.43 and 3,530.59

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Solution

The fourth proportional to 3,588, 4,907.43 and 3,530.59 is: 4,828.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,588 : 4,907.43 = 3,530.59 : x
  2. Step 2: Convert to fraction form
    3,588/4,907.43 = 3,530.59/x
  3. Step 3: Cross multiply
    3,588x = 4,907.43 × 3,530.59
  4. Step 4: Simplify right side
    3,588x = 17,326,123.28
  5. Step 5: Solve for x
    x = 17,326,123.28/3,588
  6. Step 6: Final answer
    x = 4,828.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.