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Finding the Fourth Proportional to 3,670.40, 5,478.74 and 3,153.72

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Solution

The fourth proportional to 3,670.40, 5,478.74 and 3,153.72 is: 4,707.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.40 : 5,478.74 = 3,153.72 : x
  2. Step 2: Convert to fraction form
    3,670.40/5,478.74 = 3,153.72/x
  3. Step 3: Cross multiply
    3,670.40x = 5,478.74 × 3,153.72
  4. Step 4: Simplify right side
    3,670.40x = 17,278,411.91
  5. Step 5: Solve for x
    x = 17,278,411.91/3,670.40
  6. Step 6: Final answer
    x = 4,707.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.