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Finding the Fourth Proportional to 4,778.95, 7,160.58 and 4,596.70

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Solution

The fourth proportional to 4,778.95, 7,160.58 and 4,596.70 is: 6,887.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,778.95 : 7,160.58 = 4,596.70 : x
  2. Step 2: Convert to fraction form
    4,778.95/7,160.58 = 4,596.70/x
  3. Step 3: Cross multiply
    4,778.95x = 7,160.58 × 4,596.70
  4. Step 4: Simplify right side
    4,778.95x = 32,915,038.09
  5. Step 5: Solve for x
    x = 32,915,038.09/4,778.95
  6. Step 6: Final answer
    x = 6,887.50

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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.