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Finding the Fourth Proportional to 6,416.02, 8,854.34 and 3,544.77

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Solution

The fourth proportional to 6,416.02, 8,854.34 and 3,544.77 is: 4,891.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416.02 : 8,854.34 = 3,544.77 : x
  2. Step 2: Convert to fraction form
    6,416.02/8,854.34 = 3,544.77/x
  3. Step 3: Cross multiply
    6,416.02x = 8,854.34 × 3,544.77
  4. Step 4: Simplify right side
    6,416.02x = 31,386,598.80
  5. Step 5: Solve for x
    x = 31,386,598.80/6,416.02
  6. Step 6: Final answer
    x = 4,891.91

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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.