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Finding the Fourth Proportional to 4,776.95, 7,165.91 and 1,656.24

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Solution

The fourth proportional to 4,776.95, 7,165.91 and 1,656.24 is: 2,484.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,776.95 : 7,165.91 = 1,656.24 : x
  2. Step 2: Convert to fraction form
    4,776.95/7,165.91 = 1,656.24/x
  3. Step 3: Cross multiply
    4,776.95x = 7,165.91 × 1,656.24
  4. Step 4: Simplify right side
    4,776.95x = 11,868,458.50
  5. Step 5: Solve for x
    x = 11,868,458.50/4,776.95
  6. Step 6: Final answer
    x = 2,484.53

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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.