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Finding the Fourth Proportional to 4,785, 7,178.04 and 2,703.84

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Solution

The fourth proportional to 4,785, 7,178.04 and 2,703.84 is: 4,056.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,785 : 7,178.04 = 2,703.84 : x
  2. Step 2: Convert to fraction form
    4,785/7,178.04 = 2,703.84/x
  3. Step 3: Cross multiply
    4,785x = 7,178.04 × 2,703.84
  4. Step 4: Simplify right side
    4,785x = 19,408,271.67
  5. Step 5: Solve for x
    x = 19,408,271.67/4,785
  6. Step 6: Final answer
    x = 4,056.07

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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.