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Finding the Fourth Proportional to 5,386, 7,428.80 and 3,795.92

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Solution

The fourth proportional to 5,386, 7,428.80 and 3,795.92 is: 5,235.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,386 : 7,428.80 = 3,795.92 : x
  2. Step 2: Convert to fraction form
    5,386/7,428.80 = 3,795.92/x
  3. Step 3: Cross multiply
    5,386x = 7,428.80 × 3,795.92
  4. Step 4: Simplify right side
    5,386x = 28,199,130.50
  5. Step 5: Solve for x
    x = 28,199,130.50/5,386
  6. Step 6: Final answer
    x = 5,235.64

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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.