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Finding the Fourth Proportional to 3,483.86, 5,225.71 and 886.80

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Solution

The fourth proportional to 3,483.86, 5,225.71 and 886.80 is: 1,330.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,483.86 : 5,225.71 = 886.80 : x
  2. Step 2: Convert to fraction form
    3,483.86/5,225.71 = 886.80/x
  3. Step 3: Cross multiply
    3,483.86x = 5,225.71 × 886.80
  4. Step 4: Simplify right side
    3,483.86x = 4,634,159.63
  5. Step 5: Solve for x
    x = 4,634,159.63/3,483.86
  6. Step 6: Final answer
    x = 1,330.18

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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.