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Finding the Fourth Proportional to 5,957.60, 8,936.82 and 1,575

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Solution

The fourth proportional to 5,957.60, 8,936.82 and 1,575 is: 2,362.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,957.60 : 8,936.82 = 1,575 : x
  2. Step 2: Convert to fraction form
    5,957.60/8,936.82 = 1,575/x
  3. Step 3: Cross multiply
    5,957.60x = 8,936.82 × 1,575
  4. Step 4: Simplify right side
    5,957.60x = 14,075,491.50
  5. Step 5: Solve for x
    x = 14,075,491.50/5,957.60
  6. Step 6: Final answer
    x = 2,362.61

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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.