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Finding the Fourth Proportional to 4,700.84, 7,053.08 and 3,478.55

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Solution

The fourth proportional to 4,700.84, 7,053.08 and 3,478.55 is: 5,219.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,700.84 : 7,053.08 = 3,478.55 : x
  2. Step 2: Convert to fraction form
    4,700.84/7,053.08 = 3,478.55/x
  3. Step 3: Cross multiply
    4,700.84x = 7,053.08 × 3,478.55
  4. Step 4: Simplify right side
    4,700.84x = 24,534,438.78
  5. Step 5: Solve for x
    x = 24,534,438.78/4,700.84
  6. Step 6: Final answer
    x = 5,219.17

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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.