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Finding the Fourth Proportional to 5,051, 7,575.68 and 3,585.72

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Solution

The fourth proportional to 5,051, 7,575.68 and 3,585.72 is: 5,378.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,051 : 7,575.68 = 3,585.72 : x
  2. Step 2: Convert to fraction form
    5,051/7,575.68 = 3,585.72/x
  3. Step 3: Cross multiply
    5,051x = 7,575.68 × 3,585.72
  4. Step 4: Simplify right side
    5,051x = 27,164,267.29
  5. Step 5: Solve for x
    x = 27,164,267.29/5,051
  6. Step 6: Final answer
    x = 5,378.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.