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Finding the Fourth Proportional to 4,710.02, 6,499.90 and 2,585.75

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Solution

The fourth proportional to 4,710.02, 6,499.90 and 2,585.75 is: 3,568.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,710.02 : 6,499.90 = 2,585.75 : x
  2. Step 2: Convert to fraction form
    4,710.02/6,499.90 = 2,585.75/x
  3. Step 3: Cross multiply
    4,710.02x = 6,499.90 × 2,585.75
  4. Step 4: Simplify right side
    4,710.02x = 16,807,083.93
  5. Step 5: Solve for x
    x = 16,807,083.93/4,710.02
  6. Step 6: Final answer
    x = 3,568.37

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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.