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Finding the Fourth Proportional to 6,265.64, 8,646.26 and 3,612.89

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Solution

The fourth proportional to 6,265.64, 8,646.26 and 3,612.89 is: 4,985.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,265.64 : 8,646.26 = 3,612.89 : x
  2. Step 2: Convert to fraction form
    6,265.64/8,646.26 = 3,612.89/x
  3. Step 3: Cross multiply
    6,265.64x = 8,646.26 × 3,612.89
  4. Step 4: Simplify right side
    6,265.64x = 31,237,925.00
  5. Step 5: Solve for x
    x = 31,237,925.00/6,265.64
  6. Step 6: Final answer
    x = 4,985.60

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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.