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Finding the Fourth Proportional to 4,602.37, 6,898.59 and 2,259.65

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Solution

The fourth proportional to 4,602.37, 6,898.59 and 2,259.65 is: 3,387.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.37 : 6,898.59 = 2,259.65 : x
  2. Step 2: Convert to fraction form
    4,602.37/6,898.59 = 2,259.65/x
  3. Step 3: Cross multiply
    4,602.37x = 6,898.59 × 2,259.65
  4. Step 4: Simplify right side
    4,602.37x = 15,588,398.89
  5. Step 5: Solve for x
    x = 15,588,398.89/4,602.37
  6. Step 6: Final answer
    x = 3,387.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.