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Finding the Fourth Proportional to 4,699.99, 6,483.13 and 3,106.63

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Solution

The fourth proportional to 4,699.99, 6,483.13 and 3,106.63 is: 4,285.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,699.99 : 6,483.13 = 3,106.63 : x
  2. Step 2: Convert to fraction form
    4,699.99/6,483.13 = 3,106.63/x
  3. Step 3: Cross multiply
    4,699.99x = 6,483.13 × 3,106.63
  4. Step 4: Simplify right side
    4,699.99x = 20,140,686.15
  5. Step 5: Solve for x
    x = 20,140,686.15/4,699.99
  6. Step 6: Final answer
    x = 4,285.26

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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.