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Finding the Fourth Proportional to 3,572.98, 5,359.62 and 975.91

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Solution

The fourth proportional to 3,572.98, 5,359.62 and 975.91 is: 1,463.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,572.98 : 5,359.62 = 975.91 : x
  2. Step 2: Convert to fraction form
    3,572.98/5,359.62 = 975.91/x
  3. Step 3: Cross multiply
    3,572.98x = 5,359.62 × 975.91
  4. Step 4: Simplify right side
    3,572.98x = 5,230,506.75
  5. Step 5: Solve for x
    x = 5,230,506.75/3,572.98
  6. Step 6: Final answer
    x = 1,463.91

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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.