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Finding the Fourth Proportional to 4,715.76, 7,070 and 1,793.68

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Solution

The fourth proportional to 4,715.76, 7,070 and 1,793.68 is: 2,689.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,715.76 : 7,070 = 1,793.68 : x
  2. Step 2: Convert to fraction form
    4,715.76/7,070 = 1,793.68/x
  3. Step 3: Cross multiply
    4,715.76x = 7,070 × 1,793.68
  4. Step 4: Simplify right side
    4,715.76x = 12,681,317.60
  5. Step 5: Solve for x
    x = 12,681,317.60/4,715.76
  6. Step 6: Final answer
    x = 2,689.14

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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.