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Finding the Fourth Proportional to 5,953.14, 8,929.74 and 1,570.56

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Solution

The fourth proportional to 5,953.14, 8,929.74 and 1,570.56 is: 2,355.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,953.14 : 8,929.74 = 1,570.56 : x
  2. Step 2: Convert to fraction form
    5,953.14/8,929.74 = 1,570.56/x
  3. Step 3: Cross multiply
    5,953.14x = 8,929.74 × 1,570.56
  4. Step 4: Simplify right side
    5,953.14x = 14,024,692.45
  5. Step 5: Solve for x
    x = 14,024,692.45/5,953.14
  6. Step 6: Final answer
    x = 2,355.85

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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.