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Finding the Fourth Proportional to 4,751.22, 7,117.38 and 4,345.14

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Solution

The fourth proportional to 4,751.22, 7,117.38 and 4,345.14 is: 6,509.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,751.22 : 7,117.38 = 4,345.14 : x
  2. Step 2: Convert to fraction form
    4,751.22/7,117.38 = 4,345.14/x
  3. Step 3: Cross multiply
    4,751.22x = 7,117.38 × 4,345.14
  4. Step 4: Simplify right side
    4,751.22x = 30,926,012.53
  5. Step 5: Solve for x
    x = 30,926,012.53/4,751.22
  6. Step 6: Final answer
    x = 6,509.07

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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.