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Finding the Fourth Proportional to 3,639.94, 5,460.60 and 1,300

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Solution

The fourth proportional to 3,639.94, 5,460.60 and 1,300 is: 1,950.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,639.94 : 5,460.60 = 1,300 : x
  2. Step 2: Convert to fraction form
    3,639.94/5,460.60 = 1,300/x
  3. Step 3: Cross multiply
    3,639.94x = 5,460.60 × 1,300
  4. Step 4: Simplify right side
    3,639.94x = 7,098,780.00
  5. Step 5: Solve for x
    x = 7,098,780.00/3,639.94
  6. Step 6: Final answer
    x = 1,950.25

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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.