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Finding the Fourth Proportional to 5,045.42, 6,959.24 and 4,627.16

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Solution

The fourth proportional to 5,045.42, 6,959.24 and 4,627.16 is: 6,382.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,045.42 : 6,959.24 = 4,627.16 : x
  2. Step 2: Convert to fraction form
    5,045.42/6,959.24 = 4,627.16/x
  3. Step 3: Cross multiply
    5,045.42x = 6,959.24 × 4,627.16
  4. Step 4: Simplify right side
    5,045.42x = 32,201,459.03
  5. Step 5: Solve for x
    x = 32,201,459.03/5,045.42
  6. Step 6: Final answer
    x = 6,382.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.