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Finding the Fourth Proportional to 3,484.02, 5,225.88 and 886.89

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Solution

The fourth proportional to 3,484.02, 5,225.88 and 886.89 is: 1,330.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,484.02 : 5,225.88 = 886.89 : x
  2. Step 2: Convert to fraction form
    3,484.02/5,225.88 = 886.89/x
  3. Step 3: Cross multiply
    3,484.02x = 5,225.88 × 886.89
  4. Step 4: Simplify right side
    3,484.02x = 4,634,780.71
  5. Step 5: Solve for x
    x = 4,634,780.71/3,484.02
  6. Step 6: Final answer
    x = 1,330.30

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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.