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Finding the Fourth Proportional to 4,699.86, 6,484.95 and 3,020.70

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Solution

The fourth proportional to 4,699.86, 6,484.95 and 3,020.70 is: 4,168.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,699.86 : 6,484.95 = 3,020.70 : x
  2. Step 2: Convert to fraction form
    4,699.86/6,484.95 = 3,020.70/x
  3. Step 3: Cross multiply
    4,699.86x = 6,484.95 × 3,020.70
  4. Step 4: Simplify right side
    4,699.86x = 19,589,088.47
  5. Step 5: Solve for x
    x = 19,589,088.47/4,699.86
  6. Step 6: Final answer
    x = 4,168.02

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