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Finding the Fourth Proportional to 4,975.22, 7,460.26 and 1,464.77

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Solution

The fourth proportional to 4,975.22, 7,460.26 and 1,464.77 is: 2,196.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,975.22 : 7,460.26 = 1,464.77 : x
  2. Step 2: Convert to fraction form
    4,975.22/7,460.26 = 1,464.77/x
  3. Step 3: Cross multiply
    4,975.22x = 7,460.26 × 1,464.77
  4. Step 4: Simplify right side
    4,975.22x = 10,927,565.04
  5. Step 5: Solve for x
    x = 10,927,565.04/4,975.22
  6. Step 6: Final answer
    x = 2,196.40

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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.