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Finding the Fourth Proportional to 5,970.57, 8,952.63 and 4,580.47

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Solution

The fourth proportional to 5,970.57, 8,952.63 and 4,580.47 is: 6,868.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,970.57 : 8,952.63 = 4,580.47 : x
  2. Step 2: Convert to fraction form
    5,970.57/8,952.63 = 4,580.47/x
  3. Step 3: Cross multiply
    5,970.57x = 8,952.63 × 4,580.47
  4. Step 4: Simplify right side
    5,970.57x = 41,007,253.14
  5. Step 5: Solve for x
    x = 41,007,253.14/5,970.57
  6. Step 6: Final answer
    x = 6,868.23

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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.