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Finding the Fourth Proportional to 5,477.60, 8,216.40 and 3,598.40

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Solution

The fourth proportional to 5,477.60, 8,216.40 and 3,598.40 is: 5,397.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,477.60 : 8,216.40 = 3,598.40 : x
  2. Step 2: Convert to fraction form
    5,477.60/8,216.40 = 3,598.40/x
  3. Step 3: Cross multiply
    5,477.60x = 8,216.40 × 3,598.40
  4. Step 4: Simplify right side
    5,477.60x = 29,565,893.76
  5. Step 5: Solve for x
    x = 29,565,893.76/5,477.60
  6. Step 6: Final answer
    x = 5,397.60

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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.