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Finding the Fourth Proportional to 5,957.84, 8,935.68 and 1,575.32

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Solution

The fourth proportional to 5,957.84, 8,935.68 and 1,575.32 is: 2,362.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,957.84 : 8,935.68 = 1,575.32 : x
  2. Step 2: Convert to fraction form
    5,957.84/8,935.68 = 1,575.32/x
  3. Step 3: Cross multiply
    5,957.84x = 8,935.68 × 1,575.32
  4. Step 4: Simplify right side
    5,957.84x = 14,076,555.42
  5. Step 5: Solve for x
    x = 14,076,555.42/5,957.84
  6. Step 6: Final answer
    x = 2,362.69

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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.