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Finding the Fourth Proportional to 4,678.40, 6,984.40 and 4,160

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Solution

The fourth proportional to 4,678.40, 6,984.40 and 4,160 is: 6,210.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,678.40 : 6,984.40 = 4,160 : x
  2. Step 2: Convert to fraction form
    4,678.40/6,984.40 = 4,160/x
  3. Step 3: Cross multiply
    4,678.40x = 6,984.40 × 4,160
  4. Step 4: Simplify right side
    4,678.40x = 29,055,104
  5. Step 5: Solve for x
    x = 29,055,104/4,678.40
  6. Step 6: Final answer
    x = 6,210.48

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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.