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Finding the Fourth Proportional to 4,130.70, 5,699.43 and 2,362.02

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Solution

The fourth proportional to 4,130.70, 5,699.43 and 2,362.02 is: 3,259.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,130.70 : 5,699.43 = 2,362.02 : x
  2. Step 2: Convert to fraction form
    4,130.70/5,699.43 = 2,362.02/x
  3. Step 3: Cross multiply
    4,130.70x = 5,699.43 × 2,362.02
  4. Step 4: Simplify right side
    4,130.70x = 13,462,167.65
  5. Step 5: Solve for x
    x = 13,462,167.65/4,130.70
  6. Step 6: Final answer
    x = 3,259.05

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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.