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Finding the Fourth Proportional to 4,827.03, 7,238.10 and 2,358.15

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Solution

The fourth proportional to 4,827.03, 7,238.10 and 2,358.15 is: 3,536.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,827.03 : 7,238.10 = 2,358.15 : x
  2. Step 2: Convert to fraction form
    4,827.03/7,238.10 = 2,358.15/x
  3. Step 3: Cross multiply
    4,827.03x = 7,238.10 × 2,358.15
  4. Step 4: Simplify right side
    4,827.03x = 17,068,525.52
  5. Step 5: Solve for x
    x = 17,068,525.52/4,827.03
  6. Step 6: Final answer
    x = 3,536.03

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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.