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Finding the Fourth Proportional to 5,677.02, 7,828.20 and 4,479.93

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Solution

The fourth proportional to 5,677.02, 7,828.20 and 4,479.93 is: 6,177.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,677.02 : 7,828.20 = 4,479.93 : x
  2. Step 2: Convert to fraction form
    5,677.02/7,828.20 = 4,479.93/x
  3. Step 3: Cross multiply
    5,677.02x = 7,828.20 × 4,479.93
  4. Step 4: Simplify right side
    5,677.02x = 35,069,788.03
  5. Step 5: Solve for x
    x = 35,069,788.03/5,677.02
  6. Step 6: Final answer
    x = 6,177.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.