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Finding the Fourth Proportional to 5,762.28, 7,952.40 and 5,315.52

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Solution

The fourth proportional to 5,762.28, 7,952.40 and 5,315.52 is: 7,335.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,762.28 : 7,952.40 = 5,315.52 : x
  2. Step 2: Convert to fraction form
    5,762.28/7,952.40 = 5,315.52/x
  3. Step 3: Cross multiply
    5,762.28x = 7,952.40 × 5,315.52
  4. Step 4: Simplify right side
    5,762.28x = 42,271,141.25
  5. Step 5: Solve for x
    x = 42,271,141.25/5,762.28
  6. Step 6: Final answer
    x = 7,335.84

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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.