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Finding the Fourth Proportional to 4,746.96, 7,120.42 and 1,284.22

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Solution

The fourth proportional to 4,746.96, 7,120.42 and 1,284.22 is: 1,926.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,746.96 : 7,120.42 = 1,284.22 : x
  2. Step 2: Convert to fraction form
    4,746.96/7,120.42 = 1,284.22/x
  3. Step 3: Cross multiply
    4,746.96x = 7,120.42 × 1,284.22
  4. Step 4: Simplify right side
    4,746.96x = 9,144,185.77
  5. Step 5: Solve for x
    x = 9,144,185.77/4,746.96
  6. Step 6: Final answer
    x = 1,926.32

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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.