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Finding the Fourth Proportional to 4,706.14, 7,059.54 and 1,419.48

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Solution

The fourth proportional to 4,706.14, 7,059.54 and 1,419.48 is: 2,129.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.14 : 7,059.54 = 1,419.48 : x
  2. Step 2: Convert to fraction form
    4,706.14/7,059.54 = 1,419.48/x
  3. Step 3: Cross multiply
    4,706.14x = 7,059.54 × 1,419.48
  4. Step 4: Simplify right side
    4,706.14x = 10,020,875.84
  5. Step 5: Solve for x
    x = 10,020,875.84/4,706.14
  6. Step 6: Final answer
    x = 2,129.32

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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.