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Finding the Fourth Proportional to 4,650.42, 6,973.90 and 1,875.59

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Solution

The fourth proportional to 4,650.42, 6,973.90 and 1,875.59 is: 2,812.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,650.42 : 6,973.90 = 1,875.59 : x
  2. Step 2: Convert to fraction form
    4,650.42/6,973.90 = 1,875.59/x
  3. Step 3: Cross multiply
    4,650.42x = 6,973.90 × 1,875.59
  4. Step 4: Simplify right side
    4,650.42x = 13,080,137.54
  5. Step 5: Solve for x
    x = 13,080,137.54/4,650.42
  6. Step 6: Final answer
    x = 2,812.68

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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.