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Finding the Fourth Proportional to 4,707.84, 6,499.68 and 3,657.92

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Solution

The fourth proportional to 4,707.84, 6,499.68 and 3,657.92 is: 5,050.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,707.84 : 6,499.68 = 3,657.92 : x
  2. Step 2: Convert to fraction form
    4,707.84/6,499.68 = 3,657.92/x
  3. Step 3: Cross multiply
    4,707.84x = 6,499.68 × 3,657.92
  4. Step 4: Simplify right side
    4,707.84x = 23,775,309.47
  5. Step 5: Solve for x
    x = 23,775,309.47/4,707.84
  6. Step 6: Final answer
    x = 5,050.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.