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Finding the Fourth Proportional to 4,885.86, 7,328.80 and 1,188.07

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Solution

The fourth proportional to 4,885.86, 7,328.80 and 1,188.07 is: 1,782.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,885.86 : 7,328.80 = 1,188.07 : x
  2. Step 2: Convert to fraction form
    4,885.86/7,328.80 = 1,188.07/x
  3. Step 3: Cross multiply
    4,885.86x = 7,328.80 × 1,188.07
  4. Step 4: Simplify right side
    4,885.86x = 8,707,110.58
  5. Step 5: Solve for x
    x = 8,707,110.58/4,885.86
  6. Step 6: Final answer
    x = 1,782.10

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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.