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Finding the Fourth Proportional to 5,393.40, 7,436.49 and 4,646.10

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Solution

The fourth proportional to 5,393.40, 7,436.49 and 4,646.10 is: 6,406.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,393.40 : 7,436.49 = 4,646.10 : x
  2. Step 2: Convert to fraction form
    5,393.40/7,436.49 = 4,646.10/x
  3. Step 3: Cross multiply
    5,393.40x = 7,436.49 × 4,646.10
  4. Step 4: Simplify right side
    5,393.40x = 34,550,676.19
  5. Step 5: Solve for x
    x = 34,550,676.19/5,393.40
  6. Step 6: Final answer
    x = 6,406.10

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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.