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Finding the Fourth Proportional to 5,762.06, 8,642.06 and 1,602.35

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Solution

The fourth proportional to 5,762.06, 8,642.06 and 1,602.35 is: 2,403.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,762.06 : 8,642.06 = 1,602.35 : x
  2. Step 2: Convert to fraction form
    5,762.06/8,642.06 = 1,602.35/x
  3. Step 3: Cross multiply
    5,762.06x = 8,642.06 × 1,602.35
  4. Step 4: Simplify right side
    5,762.06x = 13,847,596.83
  5. Step 5: Solve for x
    x = 13,847,596.83/5,762.06
  6. Step 6: Final answer
    x = 2,403.24

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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.