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Finding the Fourth Proportional to 6,585.30, 9,088.20 and 4,228.20

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Solution

The fourth proportional to 6,585.30, 9,088.20 and 4,228.20 is: 5,835.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,585.30 : 9,088.20 = 4,228.20 : x
  2. Step 2: Convert to fraction form
    6,585.30/9,088.20 = 4,228.20/x
  3. Step 3: Cross multiply
    6,585.30x = 9,088.20 × 4,228.20
  4. Step 4: Simplify right side
    6,585.30x = 38,426,727.24
  5. Step 5: Solve for x
    x = 38,426,727.24/6,585.30
  6. Step 6: Final answer
    x = 5,835.23

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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.