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Finding the Fourth Proportional to 3,970.02, 5,954.76 and 1,048.35

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Solution

The fourth proportional to 3,970.02, 5,954.76 and 1,048.35 is: 1,572.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.02 : 5,954.76 = 1,048.35 : x
  2. Step 2: Convert to fraction form
    3,970.02/5,954.76 = 1,048.35/x
  3. Step 3: Cross multiply
    3,970.02x = 5,954.76 × 1,048.35
  4. Step 4: Simplify right side
    3,970.02x = 6,242,672.65
  5. Step 5: Solve for x
    x = 6,242,672.65/3,970.02
  6. Step 6: Final answer
    x = 1,572.45

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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.