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Finding the Fourth Proportional to 5,766.64, 8,660.40 and 5,303.59

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Solution

The fourth proportional to 5,766.64, 8,660.40 and 5,303.59 is: 7,964.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,766.64 : 8,660.40 = 5,303.59 : x
  2. Step 2: Convert to fraction form
    5,766.64/8,660.40 = 5,303.59/x
  3. Step 3: Cross multiply
    5,766.64x = 8,660.40 × 5,303.59
  4. Step 4: Simplify right side
    5,766.64x = 45,931,210.84
  5. Step 5: Solve for x
    x = 45,931,210.84/5,766.64
  6. Step 6: Final answer
    x = 7,964.99

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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.