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Finding the Fourth Proportional to 5,359.47, 7,394.67 and 3,588

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Solution

The fourth proportional to 5,359.47, 7,394.67 and 3,588 is: 4,950.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,359.47 : 7,394.67 = 3,588 : x
  2. Step 2: Convert to fraction form
    5,359.47/7,394.67 = 3,588/x
  3. Step 3: Cross multiply
    5,359.47x = 7,394.67 × 3,588
  4. Step 4: Simplify right side
    5,359.47x = 26,532,075.96
  5. Step 5: Solve for x
    x = 26,532,075.96/5,359.47
  6. Step 6: Final answer
    x = 4,950.50

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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.