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Finding the Fourth Proportional to 4,598.21, 6,893.16 and 4,458.77

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Solution

The fourth proportional to 4,598.21, 6,893.16 and 4,458.77 is: 6,684.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,598.21 : 6,893.16 = 4,458.77 : x
  2. Step 2: Convert to fraction form
    4,598.21/6,893.16 = 4,458.77/x
  3. Step 3: Cross multiply
    4,598.21x = 6,893.16 × 4,458.77
  4. Step 4: Simplify right side
    4,598.21x = 30,734,980.55
  5. Step 5: Solve for x
    x = 30,734,980.55/4,598.21
  6. Step 6: Final answer
    x = 6,684.13

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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.