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Finding the Fourth Proportional to 5,011.64, 7,518 and 2,088.32

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Solution

The fourth proportional to 5,011.64, 7,518 and 2,088.32 is: 3,132.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,011.64 : 7,518 = 2,088.32 : x
  2. Step 2: Convert to fraction form
    5,011.64/7,518 = 2,088.32/x
  3. Step 3: Cross multiply
    5,011.64x = 7,518 × 2,088.32
  4. Step 4: Simplify right side
    5,011.64x = 15,699,989.76
  5. Step 5: Solve for x
    x = 15,699,989.76/5,011.64
  6. Step 6: Final answer
    x = 3,132.71

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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.