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Finding the Fourth Proportional to 4,700.84, 7,051.73 and 1,740.08

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Solution

The fourth proportional to 4,700.84, 7,051.73 and 1,740.08 is: 2,610.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,700.84 : 7,051.73 = 1,740.08 : x
  2. Step 2: Convert to fraction form
    4,700.84/7,051.73 = 1,740.08/x
  3. Step 3: Cross multiply
    4,700.84x = 7,051.73 × 1,740.08
  4. Step 4: Simplify right side
    4,700.84x = 12,270,568.20
  5. Step 5: Solve for x
    x = 12,270,568.20/4,700.84
  6. Step 6: Final answer
    x = 2,610.29

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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.