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Finding the Fourth Proportional to 3,337.84, 5,005.56 and 1,145.98

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Solution

The fourth proportional to 3,337.84, 5,005.56 and 1,145.98 is: 1,718.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,337.84 : 5,005.56 = 1,145.98 : x
  2. Step 2: Convert to fraction form
    3,337.84/5,005.56 = 1,145.98/x
  3. Step 3: Cross multiply
    3,337.84x = 5,005.56 × 1,145.98
  4. Step 4: Simplify right side
    3,337.84x = 5,736,271.65
  5. Step 5: Solve for x
    x = 5,736,271.65/3,337.84
  6. Step 6: Final answer
    x = 1,718.56

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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.