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Finding the Fourth Proportional to 4,695.72, 7,041.15 and 2,503.86

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Solution

The fourth proportional to 4,695.72, 7,041.15 and 2,503.86 is: 3,754.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,695.72 : 7,041.15 = 2,503.86 : x
  2. Step 2: Convert to fraction form
    4,695.72/7,041.15 = 2,503.86/x
  3. Step 3: Cross multiply
    4,695.72x = 7,041.15 × 2,503.86
  4. Step 4: Simplify right side
    4,695.72x = 17,630,053.84
  5. Step 5: Solve for x
    x = 17,630,053.84/4,695.72
  6. Step 6: Final answer
    x = 3,754.49

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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.