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Finding the Fourth Proportional to 5,607.04, 8,411.04 and 1,447

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Solution

The fourth proportional to 5,607.04, 8,411.04 and 1,447 is: 2,170.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,607.04 : 8,411.04 = 1,447 : x
  2. Step 2: Convert to fraction form
    5,607.04/8,411.04 = 1,447/x
  3. Step 3: Cross multiply
    5,607.04x = 8,411.04 × 1,447
  4. Step 4: Simplify right side
    5,607.04x = 12,170,774.88
  5. Step 5: Solve for x
    x = 12,170,774.88/5,607.04
  6. Step 6: Final answer
    x = 2,170.62

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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.