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Finding the Fourth Proportional to 5,303.76, 7,935.66 and 4,764.84

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Solution

The fourth proportional to 5,303.76, 7,935.66 and 4,764.84 is: 7,129.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,303.76 : 7,935.66 = 4,764.84 : x
  2. Step 2: Convert to fraction form
    5,303.76/7,935.66 = 4,764.84/x
  3. Step 3: Cross multiply
    5,303.76x = 7,935.66 × 4,764.84
  4. Step 4: Simplify right side
    5,303.76x = 37,812,150.19
  5. Step 5: Solve for x
    x = 37,812,150.19/5,303.76
  6. Step 6: Final answer
    x = 7,129.31

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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.