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Finding the Fourth Proportional to 4,509.96, 6,762.51 and 1,586.07

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Solution

The fourth proportional to 4,509.96, 6,762.51 and 1,586.07 is: 2,378.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,509.96 : 6,762.51 = 1,586.07 : x
  2. Step 2: Convert to fraction form
    4,509.96/6,762.51 = 1,586.07/x
  3. Step 3: Cross multiply
    4,509.96x = 6,762.51 × 1,586.07
  4. Step 4: Simplify right side
    4,509.96x = 10,725,814.24
  5. Step 5: Solve for x
    x = 10,725,814.24/4,509.96
  6. Step 6: Final answer
    x = 2,378.25

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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.