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Finding the Fourth Proportional to 3,856,509.21, 5,784,820.96 and 1,459,710.30

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Solution

The fourth proportional to 3,856,509.21, 5,784,820.96 and 1,459,710.30 is: 2,189,587.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856,509.21 : 5,784,820.96 = 1,459,710.30 : x
  2. Step 2: Convert to fraction form
    3,856,509.21/5,784,820.96 = 1,459,710.30/x
  3. Step 3: Cross multiply
    3,856,509.21x = 5,784,820.96 × 1,459,710.30
  4. Step 4: Simplify right side
    3,856,509.21x = 8,444,162,738,967.89
  5. Step 5: Solve for x
    x = 8,444,162,738,967.89/3,856,509.21
  6. Step 6: Final answer
    x = 2,189,587.08

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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.