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Finding the Fourth Proportional to 4,775.76, 7,159.92 and 2,275.67

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Solution

The fourth proportional to 4,775.76, 7,159.92 and 2,275.67 is: 3,411.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,775.76 : 7,159.92 = 2,275.67 : x
  2. Step 2: Convert to fraction form
    4,775.76/7,159.92 = 2,275.67/x
  3. Step 3: Cross multiply
    4,775.76x = 7,159.92 × 2,275.67
  4. Step 4: Simplify right side
    4,775.76x = 16,293,570.81
  5. Step 5: Solve for x
    x = 16,293,570.81/4,775.76
  6. Step 6: Final answer
    x = 3,411.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.