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Finding the Fourth Proportional to 4,070.04, 6,105.50 and 1,295.74

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Solution

The fourth proportional to 4,070.04, 6,105.50 and 1,295.74 is: 1,943.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,070.04 : 6,105.50 = 1,295.74 : x
  2. Step 2: Convert to fraction form
    4,070.04/6,105.50 = 1,295.74/x
  3. Step 3: Cross multiply
    4,070.04x = 6,105.50 × 1,295.74
  4. Step 4: Simplify right side
    4,070.04x = 7,911,128.55
  5. Step 5: Solve for x
    x = 7,911,128.55/4,070.04
  6. Step 6: Final answer
    x = 1,943.75

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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.