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Finding the Fourth Proportional to 3,037.92, 4,551.96 and 1,575

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Solution

The fourth proportional to 3,037.92, 4,551.96 and 1,575 is: 2,359.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,037.92 : 4,551.96 = 1,575 : x
  2. Step 2: Convert to fraction form
    3,037.92/4,551.96 = 1,575/x
  3. Step 3: Cross multiply
    3,037.92x = 4,551.96 × 1,575
  4. Step 4: Simplify right side
    3,037.92x = 7,169,337
  5. Step 5: Solve for x
    x = 7,169,337/3,037.92
  6. Step 6: Final answer
    x = 2,359.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.