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Finding the Fourth Proportional to 4,470.48, 6,706.08 and 1,698.48

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Solution

The fourth proportional to 4,470.48, 6,706.08 and 1,698.48 is: 2,547.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,470.48 : 6,706.08 = 1,698.48 : x
  2. Step 2: Convert to fraction form
    4,470.48/6,706.08 = 1,698.48/x
  3. Step 3: Cross multiply
    4,470.48x = 6,706.08 × 1,698.48
  4. Step 4: Simplify right side
    4,470.48x = 11,390,142.76
  5. Step 5: Solve for x
    x = 11,390,142.76/4,470.48
  6. Step 6: Final answer
    x = 2,547.86

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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.