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Finding the Fourth Proportional to 4,470.17, 6,707.03 and 1,697.58

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Solution

The fourth proportional to 4,470.17, 6,707.03 and 1,697.58 is: 2,547.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,470.17 : 6,707.03 = 1,697.58 : x
  2. Step 2: Convert to fraction form
    4,470.17/6,707.03 = 1,697.58/x
  3. Step 3: Cross multiply
    4,470.17x = 6,707.03 × 1,697.58
  4. Step 4: Simplify right side
    4,470.17x = 11,385,711.50
  5. Step 5: Solve for x
    x = 11,385,711.50/4,470.17
  6. Step 6: Final answer
    x = 2,547.04

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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.