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Finding the Fourth Proportional to 4,770.87, 7,155.47 and 1,307.19

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Solution

The fourth proportional to 4,770.87, 7,155.47 and 1,307.19 is: 1,960.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,770.87 : 7,155.47 = 1,307.19 : x
  2. Step 2: Convert to fraction form
    4,770.87/7,155.47 = 1,307.19/x
  3. Step 3: Cross multiply
    4,770.87x = 7,155.47 × 1,307.19
  4. Step 4: Simplify right side
    4,770.87x = 9,353,552.29
  5. Step 5: Solve for x
    x = 9,353,552.29/4,770.87
  6. Step 6: Final answer
    x = 1,960.55

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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.