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Finding the Fourth Proportional to 5,748.30, 7,931.61 and 3,390.30

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Solution

The fourth proportional to 5,748.30, 7,931.61 and 3,390.30 is: 4,678.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,748.30 : 7,931.61 = 3,390.30 : x
  2. Step 2: Convert to fraction form
    5,748.30/7,931.61 = 3,390.30/x
  3. Step 3: Cross multiply
    5,748.30x = 7,931.61 × 3,390.30
  4. Step 4: Simplify right side
    5,748.30x = 26,890,537.38
  5. Step 5: Solve for x
    x = 26,890,537.38/5,748.30
  6. Step 6: Final answer
    x = 4,678.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.