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Finding the Fourth Proportional to 5,957.49, 8,935.47 and 1,575.30

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Solution

The fourth proportional to 5,957.49, 8,935.47 and 1,575.30 is: 2,362.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,957.49 : 8,935.47 = 1,575.30 : x
  2. Step 2: Convert to fraction form
    5,957.49/8,935.47 = 1,575.30/x
  3. Step 3: Cross multiply
    5,957.49x = 8,935.47 × 1,575.30
  4. Step 4: Simplify right side
    5,957.49x = 14,076,045.89
  5. Step 5: Solve for x
    x = 14,076,045.89/5,957.49
  6. Step 6: Final answer
    x = 2,362.75

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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.