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Finding the Fourth Proportional to 4,705, 7,059.42 and 1,784.20

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Solution

The fourth proportional to 4,705, 7,059.42 and 1,784.20 is: 2,677.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,705 : 7,059.42 = 1,784.20 : x
  2. Step 2: Convert to fraction form
    4,705/7,059.42 = 1,784.20/x
  3. Step 3: Cross multiply
    4,705x = 7,059.42 × 1,784.20
  4. Step 4: Simplify right side
    4,705x = 12,595,417.16
  5. Step 5: Solve for x
    x = 12,595,417.16/4,705
  6. Step 6: Final answer
    x = 2,677.03

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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.