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Finding the Fourth Proportional to 3,435.44, 5,152.70 and 970.46

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Solution

The fourth proportional to 3,435.44, 5,152.70 and 970.46 is: 1,455.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,435.44 : 5,152.70 = 970.46 : x
  2. Step 2: Convert to fraction form
    3,435.44/5,152.70 = 970.46/x
  3. Step 3: Cross multiply
    3,435.44x = 5,152.70 × 970.46
  4. Step 4: Simplify right side
    3,435.44x = 5,000,463.48
  5. Step 5: Solve for x
    x = 5,000,463.48/3,435.44
  6. Step 6: Final answer
    x = 1,455.55

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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.