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Finding the Fourth Proportional to 4,756.77, 7,135.84 and 1,470.15

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Solution

The fourth proportional to 4,756.77, 7,135.84 and 1,470.15 is: 2,205.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,756.77 : 7,135.84 = 1,470.15 : x
  2. Step 2: Convert to fraction form
    4,756.77/7,135.84 = 1,470.15/x
  3. Step 3: Cross multiply
    4,756.77x = 7,135.84 × 1,470.15
  4. Step 4: Simplify right side
    4,756.77x = 10,490,751.50
  5. Step 5: Solve for x
    x = 10,490,751.50/4,756.77
  6. Step 6: Final answer
    x = 2,205.44

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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.